Special backpack for the materials would be nice, or just a tab like the currency list type of thing would be good (except the fact that they are tradable is cool, would like to keep that even if its like proof of myths).
Things I've gathered (Probably nothing new):
There are 3 special buffs from the pets, one for healing one for pdam and one for mdam. These are essentially the same no matter which steadfast/dynamic/mystical pet you use.
The damage buffs increase fairly linearly with level so that at average level 100 for your pets, the damage should end up around 1000 for 10s, which is more useful for lower damage classes like r/m, but useful nonetheless.
After ranking the sta/def pet (Salo) up to level 20 the stats are: 214.2 Sta, 918 Def. Which based on a linear progression means 1k stamina and 5k defense at level 100. Probably similar story for the other pets, but we will have to see I guess.
Most importantly, drop rate does affect how often you get the materials (probably obvious but whatever), so the drop rate event is the perfect time to be doing all this stuff.
!!!!!! The damage buff you get is also affected by regular damage % boosts, or in other words it acts as a base damage increase from what I can tell. That seems like a pretty big deal
This post has been edited 1 times, last edit by "Heimdallthewise" (Mar 20th 2016, 1:08pm)