They will, because reinserting the magazines is more failsafe - believe me, I've tried extensively. Because there's no textile flapping around, there's zero chance of getting a corner caught when re-inserting it without it being immediately obvious. Again though, this difference becomes basically nil when you factor in a dump pouch (which one should probably use in CQB).
I know a lot of people like to say 'all the gear no idea' etc. but the truth is
both matter to an extent in any scenario. Sure if you're a complete idiot then plastic retention pouches make no difference when you're fumbling about anyway, but we're assuming OP knows what's up already and so these are absolutely the quickest option if you know what you're doing. The Taco would do the same job, but then the design is nearly identical in concept - plastic friction retention but with some fabric covering the front and back sides. There are a few clones, but the fastmag is such a simple design that the FMA clones are very good (and for £14 for two, very cheap). Another alternative is simple M4 pouch retention inserts
like these. They're all the same conceptually.
Again though, I'd never use them because for woodland I'd prefer to be sure my magazines aren't flying everywhere and that they're going to stay in place when I lie down. I'm with you on using bungee most of the time, and even in CQB I'd probably go with them too (having sold almost all my fastmags anyway).
I'm not sure where you're getting this 'noisy' thing from? It's not like the fart of Velcro in the middle of a forest, we're talking CQB here - there are people shooting, shouting, AEGs whirring and noisy footsteps; they absolutely aren't going to be able to compete with that. Not to mention that they're dampened by the huge elastic bands wrapped around them and that one side is cushioned by the rest of your molle anyway.