Notes.
First, note that this guy must have the Quick Draw feat to do what he wants to do. With the odd exception of arrows, every ranged weapon -- well, I guess maybe it's every thrown weapon -- takes a move-equivalent action (MEA) to draw them first.
If it takes you a MEA to draw shurikens before you throw them, it's going to take a MEA to draw an alchemist's fire.
Second, it's true that the rules don't have any specific place where they mention the possible danger of walking around with a bunch of fragile stuff on you. Potions, though, are one-ounce containers; figure that they're pretty easy to miss.
Alchemist's fire comes in a flask, though, and it weighs a FULL POUND. That's a pint of liquid. I don't know that these would fit easily into a bandoleer. And even if they do, anyone walking around with a half-dozen of these things on them is realistically risking life and limb.
"Creative thinking" my ass. The difference between most "creative thinking" and munchkin thinking is the difference between being a player and being a DM

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Anyone carrying around more than . . . say three of these things, in a location on the bod where there could easily quick-draw them, should be risking nasty stuff in the event they get hit or they fall a great distance.
YMMV. But it shouldn't
