Hi Arne,
I think you are right on pretty much all of your statements, but it is more of a "is it feasible/worthy to do this?". let me put a silly example here: you have MPA as a PBS and MPB as ACN, as far as i am aware, it should not be possible to dissolve phosphate salts in ACN unless you are pulling some ionic liquid stuff, so it would not be something very feasible.
Discussing about HILIC, hey that's some dangerous territory right there, i would avoid running HILIC gradients, HILIC requires quite some time to equilibrate. you may need less eq time if using no more than 20% water as mobile phase and be able to even reduce it more with pseudo-equilibration states... but this is something I would advise not to do simply because the hydration layer needs stabilization... so by running gradients you have a less robust method going on.
This being said, i can also tell that you need to have a clear understanding of what exactly you need when using the same additive loading on both phases. If FMB is 100% organic or close to it you are probably not going to be able to have the salt quantity you would have on FMA. And even if you have water on FMB it might not be worth to have same amounts if your goal is to maintain microspecies the way they are (because the addition of organic solvents changes pH) or even maintain ionic strength. I take that it is way more common to just increase salt quantity in FMA until ionic strength is not an issue (tbh traditional RP or even HILIC should not be considering ionic interactions as actual contributions even though they can be around). For this i have two advices: 1-) when adding more salt to FMA, be aware that this is going to be mixed with organic solvents so you can only do this after you confirm the salt compatibility with the proportion of water/organic you will be using do some maths in order to assure there is not going to be a single moment where there is too much salt for the certain composition of water/organic, avoid salt precipitation (salting out) in your system at all cost! 2-) If you are running mixed mode you might really need to have some ionic strength stabilization (not mandatorry though). go ahead, but first confirm the salt concentration you will apply can be used in both the water/organic mixtures you are going to be using as FMA and FMB.
I will go ahead and bring something up that may or may not be related to this topic. something that crosses my way far more is the addition of acids in both mobile phases. everything i have said above apply to this kind of additive, the thing is that i had different problems related to those.
Case study #1 - FMA had 0,1% acid and FMB didnt, there was some reproducible baseline anomalies just a few minutes after the the gradient start in the chromatogram (due to dwell volume), fixed it by having acid in the same concentration on both sides. Case study #2 - the same thing but it was a chaotropic acid, retention was all over the place. having it on both MPs rendered a very good chromatogram!
bottom line is that you could experience that while handling a salt and potentially solve it by having some quantity on both sides. but once more, it is very very VERY IMPORTANT to confirm both sides can handle the amount of salt you are using in order to avoid salt precipitation on your system!!