Quickdraw Flywheels at first I thought it only works with vanilla bows but apparently most modded bows get the drawspeed boost with this augment, such bows from Thermal, Advent of Ascension, Botania, etc... except the Tinker's Shortbow / Longbow / Crossbow.

I wonder if it would be possible to allow the augment to increase the drawspeed for the Tinker's Shortbow / Longbow / Crossbow. Unless that's not do-able due to the way they work since they have a drawspeed stat.

I dunno if there were other mods that use range weapons... besides Aether's Dart Shooters but those don't have a draw time as they're fired instantly upon right-click. I also would says shurikens... but... those are thrown.

Ah, alright.

Tinker's shortbow, longbow and crossbows aren't supported because the related mod doesn't use the base ItemBow class from vanilla. It does declare a 'bow' action but the latest can be used by other tools unrelated to bows, including for example: EnderIO's Rod of return, Botania's Grass horn, Sextant, Shears, Tornado rod, Slingshot and so on.
So, no, there's no easy fix for that one without extensive side effects, sorry.