That would be a nice theory except that (to apply your theory correctly) you’d have to note that this is a senior career politican.
His home office is where he would see the ‘important’ people (such as for example his potential vice president or his local political backers). By being let in there rather than being seen in one of his other offices, you’re almost literally being admitted into the inner circle.
It is precisely the place where (under your theory) any image messaging would be most carefully calculated and definitely not where you’d see ‘the real man’ or whatever.
About the only place more likely to be carefully massaged for image might be a hunting lodge or similar but I don’t know whether Biden is that sort of politician.
As to your general point - he’s a senior fairly right wing politician in a fairly right wing political party in a rabidly right wing country. Of course he’s going to appeal to ‘conservatism’, ‘tradition’ and so on.
He’s also a lawyer. Desks and lamps like that come with the territory. If you don’t buy yourself a set, some bastard wellmeaning family member will make you a present of one.
Clients expect them (they really do - even the ones who think they want a ‘modern’ lawyer secretly feel a little bit less happy if they can’t see a nice wooden desk and a fancy lamp somewhere - you don’t actually have to use them but they need to be there).
Plus you can pick them up cheap whenever another poor sod goes bust or decides to jack it in and go join a circus/make bad pottery/become a gardener.