So first part of this, we need to in my opinion, breakdown and acknowledge the differences between a straddle game and a larger stake game. In the example you mentioned both may have the same amount of chips in preflop and preaction, but both are extremely different games.
First and foremost, typically the average person will sit at a cash game with somewhere between 100bbs to 200bbs. Lets say everyone is there with 200 BBs, some casinos btw fix the top buy-in limit, essentially a cap on max buy-in, at 2/4 this is 800$, while at 10/20 this is 4,000$. That is a huge difference, if we assume a 8 handed table for both, total number of chips on each would be 2/4 is 6,400$ while at 10/20 it is 32,000$
So to say the two tables are the same stakes because they both have the same preaction/preflop amount in the pot is just wrong. Even from a point of view of a standard open at the table, this is a big difference. Let's say the standard open on this cash table is 3.5x the BB, or the straddle in the 2/4 game, at 2/4 this is 28$ where as in the 10/20 game, this is 70$.
Another key difference between a straddle game and even more so one with antes like your example, is dead money! From your example you've given, there is 16BBs of dead ante money in that pot. Dead money creates action, where open raises ballon to make it not profitable for silly hands to call. In essence the extra money in the pot makes for often a looser more aggressive game. For the winrate, I'd argue that the ante + straddle game makes for a very swingy winrate, you'll have games where you'll crush and have a huge stack, mainly because these games will and do play very loose. The whole point of antes and straddles is to induce action and entice bigger play.
A higher stakes game, especially one that does not have a mandatory straddle, from the many I've dealt, often play pretty tight. Essentially they don't have the incentive to go nuts to only win 1.5BBs, it's very common for these games to have a mandatory straddle. Often you'll get one or two aggressive players that'll build pots.
Effectively if we compare both games, even though everyone has 200BBs, the game with the straddle does not play like a 200BB game and will play as if it is a lot shallower. Essentially the forced straddle becomes the new BB so the game is really playing at 100BBs deep. While the larger BB game, this will play like a deep cash game.
So in terms of how does each game effect winrate, the straddle game will be very inconsistent winrate with heavy +/- swings, while the larger game with no straddles will be a much more consistent winrate with not so erratic +/- swings. However the loses in each game will obviously be different, given that a stack in each is 800$ vs 4,000$.