Short answer: no.

Finding the right balance of quality and render time is a challenge for almost every app. Unbiased renderers somewhat get away from this in that what you're left with is a pretty straightforward "how long can I wait to achieve the quality I want" and it's really very few settings that control it. But in most other renderers, TG included, there are a number of settings that affect render time, some greatly, some not, and - most importantly - some of them are a larger or smaller factor (or literally have no identifiable impact) in different scenes.
Regarding lighting consistency, yes the higher your settings, the more consistent your results between renders from the same perspective and with same lighting settings will be, though there is still randomness involved. However for animation, if you are using GI, you basically always want to be using a GI cache now that this feature is available. This will actually result in essentially identical GI results between successive renders of the same frame(s), as well as consistency in lighting changes between multiple frames.
Going back to still frames, if "consistency" is a concern as you state at the beginning of this thread, then you really need to establish what the factors are that are causing *in*consistency. Simply assuming it's GI because there are random sampling factors involved is not useful - there are random sampling factors involved in almost every aspect of TG rendering, and most other renderers, too!
Actually, I'm still not entirely clear on what problems you were running into that prompted you to post the original message. You've posted 4 times here about it, but never provided example images, and the only other person to reply indicated that this would also likely be a problem in real-world photo/video shoots (which I agree it is), which suggests your issues may well not be TG-related at all. So until we establish what the actual issues are, it's really difficult to give concrete recommendations. All I can really say is that if you find a scene you're working on to be fast rendering *and* the end result is stable in motion (animation), don't fight that, count it as a blessing and enjoy!

More often than not you will be working from the other end, trying to figure out what settings you can *reduce* to give reasonable render times while maintaining the quality and consistency you need. Tools like GI caching help a lot with that.
- Oshyan