I almost always use a snap so i take the split rings off, i learned this the hard way years ago when i had one unwind on a small redfin, the bass was HUGE....

If you using snap you dont need the ring there, its just annother thing to fail. Annother reason i take those rings off is a guy i learned alot from when i first started always took the rings off, and he bailed fish, so i trust him.
I will downsize my snap size depending on the plug, you dont wanna use a 56 snap on a small 5/8th oz plug, wont swim right.