If his vents sit 25 or 30mm on top of fascia thats where you problem is. You could get him to cut a fillet 30mm to nothing over the length of a few tiles say 1m and fix to top of your fascia. Or you could have the over fascia vents extended along your fascia. Or neighbours fascia could be dropped the thickness of the vents but seems extreme.
I just meant supply and fit of the supply and returns not the ufh loop. I didnt realise a plan or drawing was needed to route these 2 pipes thinking you'd just take them straight to where they need to go but sounds like @Mulberry View has to run through the floor?
It does sound like a bells and whistles job. I dare say the house is worth over a million quid though pretty high spec. Mine will deffo be diy, last one was. I won't be having the plaster in vents.