@the_phoenix, vis a vis being willing to be called at 3am also -- yes, if it's a close friend you care about, that's the kind of control I don't mind sacrificing.
I totally agree with, this type of beloved and close friend is worth gold, and worth sacrifice.
The "control" I meant was more to do with the fact that in normal life, your time together is usually by mutual agreement, even if it might be very regular -- or not regular at all, still it's chosen -- and cherished.
The lack of control I don't like in casual acquaintances is the type where you leave your home on a mission to do something, go somewhere, involve yourself with something else -- which then gets hijacked by unexpected encounters you didn't choose, hadn't expected, didn't arrange, and if there are enough of these, it amounts to actually a lot of your time being taken from you.
I have a special interest that has to take place outdoors and constantly gets waylaid by this stuff. It's become quite the issue in my life.
I would swap the unexpected nature of these chats with people I don't feel even particularly at ease with, for the unexpected hospital call from a dear friend I do very much feel at ease with, in a heartbeat! Agree with everything you said. 