I heard the advice that you shouldn't click if you don't follow up with a treat - at least if you want the click to remain effective reinforcement. As I understand it, the point of clicking is that it acts as a virtual and instant treat that can be given at the exact instant the desirable behavior is done, while giving a physical treat takes a moment to do making it harder for the cat to understand what behavior they did that caused it - kind of like time shifting the dopamine hit of receiving a treat backwards in time to more tightly couple it with the desirable behavior. So my strategy is to only click if I have treats on hand, but then I use that to train commands that don't always result in a treat or only result in praise. That way the click->treat association remains strong and useful for training new behavior but I end up with commands I can use without treats or weakening the usefulness of the clicker.

That said if it works for you then it works! I just read a lot of content about animal training so I nerd out a bit.

why clicker, you just wave the treat in their eyesight and say their name until they come to you, and then move further and further away (in another room), then stop giving a treat and start/slternate giving pets or play when they come (mainly to stop future disappointments for kitty). depending on kitty, in same room they later will just lift their head to check what are you on about, but they do come from another room still, years later

you dont even need the treats or the clicker, at least not for teaching a cat to come when called. i'm teaching this to my second cat now and he's got the idea now. i make the noise and he comes for the pets.