Yes it is worth it....
We had our planning application application refused. There was objection from our neighbour, a local residents association and the parish complaining that our design was bulky and overbearing, loss of privacy, loss of light and out of character with the street scene (high % with gables), impact on conservation area as well as loss of bungalow.
Admittedly our design was "out there" (our nice neighbour / friend referred to it as "the Miami style house" (he didn't object)). I contemplated changing our design and resubmitting our application with a more traditional to try to make it fit. But our planning appeal consultant advised against this and quite rightly suggested that our plans will still most likely still be refused. Mrs. Bucket would have complained no matter what, so there's no guarantee that your resubmission will be passed.
We submitted our appeal and included that we had pre-application advice (from an officer who left (managed to argue this point cross referencing the point in the white paper)) and how the officer did not visit the site (yours could have still viewed from outside regardless of Covid), similar to your situation where you have evidence. We cited that the officer preferred this mass out of the two we presented for review. The report included all the reasons why the property wasn't suitable in its current state - how we want to make it our forever home. We also stated how our architect had accounted for the 45 degree rule in the design and good architectural design encourages new design, in fact in his decision the inspector stated "Paragraph 127 of the Framework sets out that planning decisions should ensure that developments are sympathetic to local character while not preventing or discouraging appropriate innovation or change”. He also stated that the design would have no impact on the conservation area?
We referenced statements referring to inclusions in the latest government law of permitted development passed Ist September 2020 (?) and referenced the NPPF re Pre-application engagement and front-loading as well as referencing other relevant paragraphs such as how the design will meet current and future standards re Lifetime homes, if you have children you can explain the tight space and demonstrate by submitting photographic evidence of the rooms, including two beds, crowded etc. And in your case you can reference similar house designs as you plan for in the area. We said we would use obscure windows to the sides. There are many arguments you could use, I could go on and on - I spent hours looking at our LA's paper and cross referencing arguments in the NPPF, government white paper and Permitted Development law to help make sure the appeal was all watertight.
You might find this useful to make sure your design adheres: https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/830643/190910_Tech_Guide_for_publishing.pdf
And to cross reference points in response to the council and objection letters
We asked our neighbours opposite and a few doors away to write letters of support (doesn't have to be those originally consulted (one was)), which they did and helped to highlight that opinions are divided. Mrs. Bucket our immediate neighbour used the same arguments as she did before which obviously were her personal opinion and actually read quite pathetic saying we were building "down the garden" and this time went and wound up our nice immediate neighbour's wife to do the same when he was out.
The council's response was very wishy washy referring to the LA plan, which is still at the modifications(?) stage and easy for us to respond to, you also get a chance to respond to representations in any objection / support letters - but at this stage of writing you are not allowed to produce new evidence and only respond to the council's comments but did cross reference the responses to the government's white paper and law.
If you do lose the inspector will highlight areas and make recommendations and as I understand it you can still win with say a condition that you should add more greenery etc. In our case it was that we must have obscured windows to the side walls and not use the flat biodiverse roofs as balconies. The council wanted our PD rights taken away should our appeal be granted but the inspectorate couldn't see any reason for it.
So glad we appealed because WE WON!!! A local estate agent who came to value said its a shame some people don't and how he has seen some homeowners scale right back or build chalet bungalows instead. Something which we did try to contemplate.
After winning were able to modify our design and resubmit for free and get rid of the red bricks which the pre-app officer advised us to incorporate to try and marry the traditional and were able to go back to our original plan of pure white front and slightly angular design. As our architect put it, "free roll of the dice".
Go for it, while it can go either way and there's no guarantee that you will win, but there's also nothing to guarantee if you submit a revised design / planning application you will get approval. The more I dug into the policies and laws the more I found them to be in our favour if presented well. Please don't be disheartened. If you don't try you will never know and you could find yourself in the same predicament if you don't.