Killa pretty much nailed the favorite player debate criteria. Ultimately, it's up to the fan. I get BBdK's Ulis love, but I also understand others who question it. The team's performance verses expectations, and ultimate disappointment/fulfillment level plays a role. Individually, Ulis has a great argument to be my favorite player of all-time. I loved the way he played as much as or more than any Cat I can remember, BUT...
As much as it sucks to admit, that '15 team brings back an empty feeling with me. Same with this team but for different reasons. That matters to me, emotionally, and "favorite player" is an emotional thing. Otherwise, we'd all just love the best players. As BBdK pointed out, Davis isn't his favorite, nor is he most UK fans' favorite on that team. It's really hard for me to pick favorites anyway. I love them all for the most part.
After some thought, my Top 3 all-time:
1. Epps
2. Turner
3. MKG
All champions. Two cerebral floor leaders and one "heart of a lion" stallion. Ulis is in that next tier. Davender was my first favorite, the guy I first pretended to be out in my backyard, so he holds a special spot in my heart. Mashburn, Delk, Wall and Davis were stars who I loved. The Unforgettables have to be up there. Derek Anderson. Boogie Cousins. Sheppard. Padgett. Brandon Knight. Lamb. Darius Miller. Aaron Harrison. Towns.
Guys who would be higher if not for their teams- Prince, Bogans, Sparks.