The setting on a bass that affects the feel of string tension most is neck relief, and it doesn’t take much to make a big difference in feel. My guess is the neck relief is different on the two basses. I’d guess the relief in the Ibanez is at or slightly under .010” and the Cort is probably over .012” and that’s plenty enough to make a big difference in feel.
Edit; if you get the neck relief nearly identical on each bass, there might still be some difference in the feel of stiffness between the two. Neck profiles and differences in wood can make the max neck relief fall at a slightly different location along the length of the neck. If you use the method of holding down the E string at 1st fret & 17th fret, one bass might have max relief at the 8th fret & the other might have max relief at the 9th fret. To make the string stiffness feel the same on each, you might have to set the relief slightly different. Going by feel instead of measurement is the best way to set relief anyway.
I get your thinking but with my Ibanez and my Sire even when they were both horribly set up at times when neglected, they never felt like the Cort with medium gauge strings. Same with my Classic Vibe Jazz.
But with lighter strings it has come alive, so praise be.