There are a million answers to this and it probably all starts with what you're trying to play and the instrument you're trying to play it on. In the guitar game, we all go through a "speed and accuracy" phase and usually apply that to alternate-picked scale running. {ugh}
The mechanics of picking have been analyzed to death and the types of picking strategies and their string-crossing merits, and the best note grouping patterns for each strategy have been cataloged and scrutinized with slow-mo cameras and presented for us to consume in amazement.
These are usually in service to attaining warp-speed and using the most economical motions and achieving grace and fluidity while burning up the fretboard-- and also not injuring the hand or wrist.
Some people anchor and some don't and some do both depending on the situation. I've always marveled at how fast EVH could tremolo-pick with NO anchor point, wrist a mile above the strings. Al DiMeola used to not anchor when he was burning if I remember correctly. Other guys have very eccentric picking styles that work for them using geometries that I cannot even imitate without pain.
Different guitars fit differently also, so your arm position over the body will have some say in how the right hand lays over the strings and bridge. On one guitar, there is just no good way to anchor and on another, it is so natural that the hand rests on the bridge and naturally mutes without thinking about it. It will come down to comfort and consistency for your particular instrument.
Consistency achieves repeatability, which will result in improvement over time with practice, which is why there are SO many videos on "tips and tricks" to play fast.
I use anchoring a lot when I switch guitars and warming up, to re-train the muscle memory for that guitar's fit and string spacing. Then use either free or anchored depending on the situation: if it's single note lines or chords, clean or dirty sounds, aggressive or soft dynamics, special muting requirements etc. I could probably benefit by thinking about it more, but when I'm comfortable on the guitar after warming up, I just don't think about it at all.
On the other hand, if I could imagine a TOMO quote generator, I'd guess that he'd say: "Why not learn and practice both techniques?" And there's quite a bit of truth to that: learn it all, you have all the time in the world!