Golf is definitely a precision game but it only involves one ball. Pool’s multi-ball nature places precision at a premium. A common cut shot can require accuracy at +/- 1/32 of an inch. The difference between perfect position and being hooked can be equally small margins. I believe most people think pool is challenging enough without introducing golf-like challenges. I think if you polled most players, dead rails, cheap balls, unlevel tables would lose every time.
Some of those are the 'standards' that would probably remain. The best players won't play golf with a cheap ball either, although they don't pay for balls anyway. Dead rails I would equate to unplayable bunkers or patchy grass in the fairways. An unlevel table, however, is an artificial standard that I think might eventually be accepted if the unlevel spots were intentional, or if players could get out of the mindset that the playing surface needs to be constrained to a single horizontal plane. Similarly, if the rectangular standard were relaxed there would be no such thing as a "standard three-rail kick" - every kick and bank would have to be read, not hit according to some system. It would put a premium on creativity in shotmaking, which I believe would make pool more watchable and might attract advertisers. But as in golf, too much slope or too many angles can render a course overly punitive, making it impossible for even the best players to play a decent game.
Then there are other possible effects. Races would likely get shorter, the break might become less of a factor, and a single ball lucked in probably wouldn't send your opponent into a tirade. Things like that might be good for the sport too.
Oh, and 1/32 of an inch is a chasm in golf, especially when played at the highest level.