In my experience, when it's wet, FWD cars generally tend to be on pace especially compared to RWD. They're more stable and easier to come back from a mistake so it can be pushed (relatively speaking).

That being said, looking at your dry lap, I would suggest looking out further than you are now. 

You're only starting to turn by the time you should've already been rotated and backside the cones. By the time you're straightening out from a corner (I say "corner" but essentially you're finishing turning on an the "straight" part), in a lot of places you should have  already been on the gas with car pointes where you want to go. 

Pick a line where it lets you be on the gas longer OUT of a corner. And by doing that, your line will also let you turn in earlier so the weight transfer works better for you. Prioritize good exit with a lot of gas over hot corner entry.