Convertible top adjustment.

Are there cables within the frame assembly that can be adjusted?

There are cables the run along the outside edge of the top that control its side fit, but don’t have anything to do with the folding action. They are not adjustable. It is possible they have corroded, and perhaps one of them has broken, but not too likely.

I think once you detach the hydraulic cylinders from the top frame, and manually rise and lower top you will detect the binding problem. I wouldn’t discount a problem with hydraulics just because of new cylinders. Test run hydraulics with cylinders detached checking for full travel, and or equal travel.