For the number of players, IIRC, it can change which cards end up being the board (or "dealers"). Same for 3 card poker (again, IIRC). Where player 1 gets the same hand every deal. Then if no other players, the next set goes to the dealer. Then if a player jumps in, they get set #2 and then dealer gets set #3.
Yeah, I've been there where someone with say AKsuited and checks of anyone has. I say "Let It Ride"! Otherwise, why even sit at the game. 
Some casinos deal the dealer last. But at Harrah's the dealer gets the 1st hand. Same for 3 card. Resorts World didn't have LIR, but they did have 3 card and the dealer got the last hand. I played 2 hands since the dealer was kicking my ass at 1 point in the time I was seated. There was 1 more place where the dealer gets the last hand that I played at this trip, but I can't remember. It wasn't Venetian for sure.
The only thing for LIR at Harrah's was table position, but he was in 1st position, so the how the cards are dealt or who was seated where didn't matter mathematically. Just the juju of the table, which I firmly believe in. I had bad juju at MGM Ultimate Texas Holdem. Lost 6 hands in a row. And betting $85 a hand, that broke me for that session and budget. I was losing so bad that I didn't even bet 4x when I had good cards, like how the book says you should.
When I play games like 3 card, LIR, Holdem, I try and sit 1st position. That way I can't get mad that some dude jumped in and took my hand. Although Mrs. CMO did that on 3 card. And the hand she took from me, she was delt a 3 card straight. Then hit the 6 card straight as well. The worst part was that she doesn't bet the bonus bets like "pair plus" or "6 card". I was upset, she laughed. But I got her back cause while at MGM, she was playing the Wild Cherry's and I played after she was done and hit the $1K jackpot 6 spins in ($3 max bet).