Welcome to the forum. Way to go, you've got many sonic palettes/styles covered with those two.
You might be the first on here to post that they have an AZS. I think this model has one ingredient some T players wish traditional ones come with as an option, but are afraid to say so for fear of ostracism from the T church - a trem

(yes, some of the 70s Deluxes did, and they were reviled, ha).
I also like the tones you get out of a regular T but playability stuff on many like the sidewalls of the traditional bridge plate, three (non-compensated) saddles, switch too close to volume knob in bridge position I'm less excited about. Something that is '-ish' is totally fine, imo. A mini hum in the neck seems generally underrated.
The 565 is classic Ibanez, speaks for itself. We've had a thread going about the new colours it comes in for the current run.