But I don't just understand the concept of like, okay, we recognize that you're the Pope, yet we don't want to be in communion with you. Your Church is completely different from our Church, but somehow you're still Pope.
It actually goes like this: "We recognize that you're the Pope(s), but we will offend God and lose the faith if we do the things you promote. If you ever want us to do something Catholic, say so and we will be obliged to obey".
It is really not all that complicated once you accept the fact that all popes have always been able to do what only the conciliar popes have actually done. IOW, simply believe your own eyes. For many, this is easier said than done, and for most of these, apparently it is all but impossible to believe their own eyes.