More appropiate would be the legal inability to resign from the house of commons, thus having to be appointed to a specific office of the crown which is incompatible with being a member of the commons.
There were arguments that the government should refuse Farage's appointment because he's doing it to stop the clock on investigation into his various financial dealings. While against constitutional law to decline such, it was discussed in similar situations in the past - fairly recently in fact for the same reason -- Henry Cadogan in 1842
On the subject of headwear in parliament, I quote the member for Hereford who yesterday in parliament said:
> How very different from the forthcoming by-election in Clacton, which appears to be a choice between a novelty comedy act with no real policies, and Count Binface. It is a long time since we had a count in the House of Commons, and when the time comes—as it surely will—we will have to leave to you, Mr Speaker, the delicate question of whether and how to suspend the rules on headgear in the Chamber for the new Member.
Which implies that the laws around headgear are at the behest of the Speaker.
There is precedent in electoral history for election of people dressed as a figure -- H'Angus the Monkey (a football mascott, not an actual monkey) was elected Mayor. However on the ballot paper his entry was
STUART DRUMMOND Independent
Where as Binface's is
Count BINFACE Count Binface Party
Given Farage received a mere 45% in 2024, and a unity candidate beat an incumbant mp who previosuly had 55% and was mired in a similar scandal back in 1997, it's not impossible.