The common conception is that Uniswap LPs get more fees as they stay longer in the pool. I have been searching everywhere for a clear explanation of how fees work, and could not find information to confirm this conception is correct.
Take this example: Alice owns 100% of a new pool that progressively generates 10k in swap fees. Bob hops in and takes 90% of the pool, then exits right away. He'd take 9k in fees, and just 1k remaining for Alice? But if Alice had exited before Bob enters in the pool, she'd get 10k in fees. If this is correct, providing liquidity for a shorter period would entitle the LP to more fees.
Can someone clear this out?