I also have trouble with the chairlift so you're not alone! It's my first season and I feel like such a pro doing my little linked turns on blues only to faceplant straight off the chairlift 1/5 of the time. And then I need to do the quick scuttle of shame to get out of the way.
Do you by any chance have short legs? I'm short and have short legs for my height so when it's time to get off the lift sometimes I can't even reach the ground. I have to hop a little to get off and occasionally the board points in an unanticipated direction, I overcorrect, and then down I go. Maybe try a stomp pad to see if that helps? That's what I'm about to do because I figure extra traction can only help.