@Conor is correct.
We have MVHR in an airtight* new build. It's great, works a treat in the background.
Just the extract and supply in a 60sqm kitchen / dining room, again not an issue.
Personally, If I did it again I would fit kitchen extract to vent outside but inaccessible ducting could be an issue.
Recirculating hob should be enough and wood burner needs its own sealed air supply.
* Draughty catflap.