I'd say 'being' a politician is a stupid thing as-is, but regarding the 'hat' or 'part-time' thing; that seems to be counterproductive as it probably means people will not be able to specialise as much and people will not be able to keep their multiple 'hats' from interfering with each other.
The only reason we have those nice modern things like phones and the internet is specialisation; it makes it possible for people to pursue things other than basic needs to survive. Sadly, that also means that people can pursue things that many people might find useless or repulsive, like being a professional liar as some 'full-time politicians' seem to be called by the various journalistic outlets. (let alone the opinionated internet - look, it's us!)
If we were to leave out the 'politician' and just say "person assigned by people who are busy doing other things, to govern those people that choose them". The politician part that would normally be in there would ideally only be scoped to the candidate phase of things and the interaction between different governing persons/positions to get stuff done. If you put it that way, it suddenly makes much more sense to have someone do a governing job full time as you'd want such a person to actually get stuff done.
The only reason we have those nice modern things like phones and the internet is specialisation; it makes it possible for people to pursue things other than basic needs to survive. Sadly, that also means that people can pursue things that many people might find useless or repulsive, like being a professional liar as some 'full-time politicians' seem to be called by the various journalistic outlets. (let alone the opinionated internet - look, it's us!)
If we were to leave out the 'politician' and just say "person assigned by people who are busy doing other things, to govern those people that choose them". The politician part that would normally be in there would ideally only be scoped to the candidate phase of things and the interaction between different governing persons/positions to get stuff done. If you put it that way, it suddenly makes much more sense to have someone do a governing job full time as you'd want such a person to actually get stuff done.