I do both and see no difference with 35mm films. The key is to not twiddle to fast.
Agree with this 100%. I've been using the "twiddle" method for over 30 years (and have also undertaken the inversion method as well) - have never seen a difference. Admittedly, I'm not concerned with the science, so I have never measured my negs with a densitometer; for me, achieving consistent, correctly developed negatives and consistent prints on my paper, and grade of choice, are what I'm after.
It should be noted though, that I did do some thorough testing on my developer and films of choice when I first started out - for many years this was Agfa's superb Atomal FF, and I tested the complete B&W Agfa range, as well as Kodak's TriX, PX125, and their TMax range and Ilford's original FP4 and HP5. When Agfa's film division shut up shop, I eventually moved to D76 and Rodinal, depending on availability and where I was based. Both of these have performed just as well - I can't discern any difference at all
I also use the method for 120 negs and these too have never shown uneven development. As
@Eric Rose points out, the speed at which the negs are "twiddled" is the most important factor, get that right (along with the correct developer) and I'm confident you won't face any issues.
All I can suggest is, test, test, test; burn a couple of short rolls of your favourite film and developer combo, run the first lot using the twiddle stick method and the second using the inversion method. Once dry, have a good look at the negs and see if you have any issues (if so inclined check with a densitometer too) - if what you get is acceptable on both fronts, choose how you wish to continue developing and stick with it. IMHO, continuously changing from one developer to another and back (along with your processing method) isn't conducive to consistent results, often ending in disaster or disappointment; instead, make those changes because you want to investigate new combinations (or change your developer of choice completely) and be sure to once again, test, test, test.