DaveXR650: I don't think the call to repent and believe means people are being "mocked" by God. After all, everyone (well, all the unregenerate) is obliged to obey the law 100%, but nobody can or does. For the unregenerate, they can only "repent" or "believe" under their "own steam", i.e. a kind of legal repentance and faith, which is not the same as spiritual repentance and faith.
Armchair Apologist: "God's sovereignty and man's responsibility are two sides of the same coin"
This sounds like a "balance". Hyper-Calvinism sees man's responsibility underneath, not on the same level, as God's sovereignty. Furthermore, different people are responsible for different things, depending on whether they are saved or not. The unregenerate are responsible to obey the law written on the heart. They are commanded to repent and believe but they will only show real repentance and faith if they are first regenerated by God. They are not responsible for "grasping salvation", or "making a free will decision for Christ", or attempting to "work up repentance and faith", or any of that. The saved are responsible to live according to "gospel law".
Moderate Calvinists somehow think that people are "responsible" for being saved. They are not. This is why I don't think that saying they are really makes any sense. How can one be "responsible" for such a great task, which can only be accomplished by God? It's also why I don't judge anyone regarding salvation. It's not in our hands, or theirs.
Regarding "supra" and "sub" lapsarianism, "Hyper-Calvinism" actually has both, in the 18th Century covenant framework developed by Gill and Brine (who came on the scene quite a long time after Beza). There is a good explanation of it on baptists.net.
That may all seem a bit muddled, but I know very little.
Personally I have come under "gospel preaching" a great many times, and it always left me with the impression that I had to "do something", which, despite all my efforts, I just couldn't do. Maybe I'm just a reprobate with a very good grasp of theology. Unfortunate, but there it is.
On repentance, faith, duty faith, etc, check out:
https://www.baptists.net/history/2022/04/what-is-hyper-calvinism/