If it’s got a crown mounted lockout there’s no spring at all. You can’t just bolt on a remote lever, you need a spring in the MoCo stack to facilitate the sprung return of the damper to either unlocked or locked depending on the age of the cartridge. The cable does the opposite.
You’re quite right you’ll never get the lever to push the cable, but I think people above are assuming you’re trying to fit the ‘wrong’ lever (which I’m not sure exists aside from the padlock symbol being wrong, the lever is ‘dumb’, it’s the damper functionality which varies).
Trying to retrofit the remote can be done, but is a but of a bitch IIRC, a whole new damper and sell the old crown-mounted one may be easier. Or just bend down and twiddle your existing lever.