All those active adapters converting a digital signal to analog VGA are gonna introduce lag at the very least, and avoiding lag is one of the main reasons to use a CRT.
I guess video quality will depend on the quality of the adapter. This one seems to have good reviews:
It seems to be pretty hard to find measurements of how much lag these adapters actually add, probably because people concerned about lag would be avoiding them in the first place.
I guess you're just gonna have to use trial and error. :(