Throwing a +1 to this suggestion, I would really like for this to be fixed. This also happens when you go from holding nothing to holding shuriken btw, so even if I was going to try to avoid this problem by never using other ammo, I'd still end up running into this problem if I use Sange.

Blinking when you swap ranged weapons I get because the animations for bows and crossbows are different, for example, but animations generally don't change when you swap from one ammo to another, you can either throw or you can't, so this shouldn't be an issue on anything other than just a technical level.