OP, kudos to you.
You're new at towing and have towed your camper, experienced some conditions and appear to be comfortable with how it pulls. Awesome!
If you're not concerned with a little wiggle now and then (If you've ever had a trailer uncontrollably away, you'd know it's much differnet. And much worse), you're good to go.
Have fun camping. Fwiw, if you have the right tongue weight which it sounds like you do, you don't have to worry much about anything.
Your car may be doing sway bar duty that's imperceptible too.
Sounds like a nice setup!!