A tiny bit of context:
Hungary just had national elections about 2 months ago, finally pulling the handbrake and getting rid of the previous government's 16 year old reign. The previous PM (Orbán) had been inching closer to Russia every year, and this year the elections were (among many other things) basically about showing loyalty to Europe instead of taking the final step on the slippery slope and becoming a Russian lapdog again. Since the opposition was the strongest in the capital city, chances are the (only?) red colour on the map represents this, and not Budapest's all-time excitement over the EU.
EDIT: Heh, I didn't realise the map is from 2021. While the situation has been the case for a while (Orbán announced the opening toward the East way back in the 2010's), there is a good chance I have completely missed the point.
Also, historical Hungary used to be larger at one point in history, which could (partially?) explain the regional colours in Western Romania and Eastern Austria. Not even necessarily because of the nationality in mind, but it certainly had an influence over culture and politics.
I'm not an expert on Germany, but their regional divide might be in part due to the East-West divide after WW2 EDIT: I'm indeed not an expert on Germany. Please correct me if I'm wrong, since there's a good chance.
(also, OP, I think you wanted to spell 'feel' in the title)