I've found rushing has its time and place. I used to play this very strategically and slow, and I'd say it worked 50% of the time, if that. I've changed my play style a bit - you could attribute it to losing the gear-fear - and push much more aggressively, and I'd say this is giving me a 75%+ success rate. The netcode still heavily favours the peaker, so you need to use that to your advantage. Pushing someone in the middle of a gunfight isn't the easiest, but trying to out-flank them with grenades as distractions seems to be working well for me.
Last night I had a proper wet-myself moment on Interchange. Doing a night-time run as a scav, get a bit of luck and find an AKS-74UB with a loaded mag from the first crate I came across. Spent the raid trundling through my "quick" crate route, not much sprinting and certainly not sneaking apart from coming up to open doors. Pushed through one door and turned left to clear the corner and there was a fully loaded guy stood there waiting. Just from pure reflex / instinct I started shooting, more out of surprise if anything, but he was close enough that the rifle moved to the raised position. The motion of the gun going up is what actually killed him - a round fired up and underneath his helmet!
And because of how quick it all transpired coupled with the netcode, I imagine the chap probably only saw my shoulder come through the door before he was dead...
Tarkov giveth, Tarkov taketh