Lag is a part of the game. Some people do, some don't. As a sparrer looking to improve, you should just accept that first I think. As stated before, try not to move forward a lot when going against someone who does. It helps me to stay back and play the "safe" game. If I don't get a hit in with some swings that's ok, as long as I don't get sniped by them either. Spars like this have a much more strategic element than ones where neither player lags a lot, which are naturally more reactionary. The mixed room is still where you'll find all of the best sparrers, hands down.
Also, if you ever want to contact me in game for help, feel free to do so. I'd be glad to do as much as I can.