You or me not sponsoring pool is a non factor as ''no'' big company is sponsoring the game and I doubt its because players at some point dressed too elegantly, hence, yes, it is something that very well can be discussed.
Just who would sponsor pool in the US? I'm being serious. List some potential sponsors.
It's mainly played in bars or pool halls. Billiards equipment and Billiards industry obviously. But who else? What demographic are pool players?
Pros dressing well will not suddenly make sponsors think it's golf players with tons of disposable income. They are not so naive to think that because players dress well there is a market.
I could see blue collar things, fast food, beer, maybe energy drinks, gambling. But who else? I mean, what exact type of market other than "regular people" does billiards have that other sports don't?
Would it do to spend advertising money if you were a hotel chain? A luxury watch company? A shoe company? A BBQ grill company? A motorcycle company? BMW? Would any of this change if the pros dressed nicer?
When Earl wore a polo, did luxury goods suddenly start advertising on ESPN? No.
Pool has no real niche demographic nor one with money, so in my opinion, unless it's just "common man" stuff or Billiards related, you'd be a fool to invest in advertisement for the sport.
Could Rolex make any money advertising in pool when most pool players are just average people?
Honestly, IMO pool doesn't have an image problem, it has a demographics problem. You'd be better off advertising to almost any group than pool players/fans.
Does professional bowling have much advertising other than bowling equipment? It's the same thing. Does cornhole? Probably not but I don't know. I'd guess they would do better advertising beer and BBQ grills rather than Luxury vehicles.
I get wanting players to look professional. It adds a layer of legitimacy. Just like you would not want to go to the doctor and see him wearing flip flops. But really, the pool demographic has no reason to be advertised to. Yes, it could potentially bring money, but what business would be foolish enough to spend advertising money on such an arbitrary group? Billiards equipment and industry. No other advertisement/sponsors make sense from a financial standpoint.