I dunno - i still see plenty cause for concern.
1x8 shiplap installed diagonal to 2x10 joists - sounds like an old house. I'd think it unwise to put "SYP / Doug Fir" into the Deflecto calc.
Running "unknown wood, but in good condition" along w/ 13' span, nominal 2x10's @ 16" OC, you get L/350. Inadequate for ceramic.
Deflecto also assumes good construction, can't see old plumbing and electrical cutouts/notches, etc.
I'm also concerned about the screws. 1 3/4" decking screws sound awfully short for socking down 1x8's. Old 1x8 can be nearly 7/8" thickness, so you only have another 7/8" - 1" of thread into the top of those old joists. 2 1/2" screws minimum would be better. Then sheetrock screws

have no business doing anything to hold flooring down. For starters, they can rust inside your floor and cause their own problems from that. Second, the heads are designed to snap off under certain loading conditions. Can't say your floor is doing those things, but in general they are for drywall use only
All that said, I'll go along w/ Bob and Kman - might as well try the RedGard here. It might work. I think it won't. At the end of the day, I still think there is woefully inadequate underlayment to support a crack-free future for your tiles