Yea absolutely they stack, I had at least one catalog on each of my characters when I was grinding for Trapezhedron and Platinum Ingots. I would suggest maxing those three or four catalogs out in the weapon upgrades which will give you a much better chance of having things drop from the Adamantortoises.
From my personal experience, I equipped Light with a Connoissuer Catalog which increases the rate of rare drops and Hope had 2 Survivor Catalog which increases the rate of normal drops. Both of them only take like one level to be maxed out so I did that. Turns out that I started getting more Trapezhedron's then Platinum Ingots, currently my ratio is 8 Traps : 5 Ingots which was a little frustrating since my Nirvana was already at like lvl 91 when I started getting all the Traps which simply means I blew like 1.3 million from the beginning of the game plus all those ingots to increase the weapon when I got all the Traps I needed simply from fighting the Adamantoise and winning with 5 star ratings. I'm thinking about putting another Survivor's Catalog on maybe Fang to try and get some Ingots for some money to start upgrading all my weapons.






and nothing. Not sure if I got a lucky streak or if the catalogs really are stacking.




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