From what I can see, You can use a j hook or unibead liner with the coping piece you have. Your coping just sits on top of the “j” or “U” but the “j/u” sits on the pool wall correct?
A regular beaded (hung) liner would require a bead receiver piece placed directly on top of the pool wall in which the liner would snap into.
Some people choose beaded/hung liner’s because you don’t need to remove the top rail to replace them. This comes into play if you have/plan to have a deck. A unibead can be used either way.
The four most common above ground pool liner types are the overlap, beaded J-hook/Unibead, and expandable. Find out which is the best for your pool.
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