If you're not having problems with the regular cotton diapers then I'd say it's probably a safe bet that the regular liners wouldn't be a problem either. No guarantees of course, but it seems a safe bet. People do occasionally have these issues with regular cotton or bamboo as well, it's not like the regular stuff is totally immune, just a little less prone.
You could also try rinsing the liners and/or night diaper before putting in the pail, many have found that that helps too. Bac-out is apparently good too. Or maybe using a little bit of Oxy-Clean in every load (or every second?). A little bit here and there might help keep things under control and prevent having to do an all out stripping. Of course it's rather controversial as to what kind of long-term effect that oxygen bleaches have on fabric...
For the bleach you could always try doing it somewhere else or doing it in a plastic container and just dumping the bleach water farther away from the septic. But then that would be a pain if you had to do it regularly. I've heard that a little bleach every isn't too bad as long as it's not too frequently, but I also have a septic system and don't want to chance it so I understand.
Anyway, hope you figure this out and everything works out, I know how much of a pain stinky diapers can be!