How would that be different from waiting for them to finish their 4th consecutive audio call?

If I send them an e-mail, I can drop the topic from my head, because I dumped all the relevant context into that e-mail, and am done with it for the time being. I can focus on my other work while waiting for them to reply, which can be 10 minutes, 10 hours or 10 days.

Whereas if I have to wait for them to become free to talk to me, I have to keep all the context in my head, which interferes with my work, because my mind has a limited amount of "cache". Also, I now have to be on constant semi-alert waiting for the call because I don't know when they will become free. That makes it impossible to concentrate on any task too much. I am certainly not getting "into the zone" on anything.

Cognitive load is a real thing, do not waste yours or someone else's.

I think you can always send an e-mail when you need a detailed answer to a non time sensitive problem. Just because you can IM someone doesn’t mean that you have to.

To me IM replaces the “I could spend an hour searching for something or just pop up at your desk and ask”. It’s better because I can, like you say, defer answering for a few minutes.

In my previous job we had Slack, with General and Random channels. The discussion often went awry in these. Later we decided to create channels per team and more or less forbidden non work related chat. This basically fixed all of our problems with lost productivity and random pokes. Since people were not constantly on chat for random reasons, they did not use it for trivial work related stuff either.

Sure, I fully agree here, in general IM can be useful, if used correctly. We were, however, discussing a particular scenario where the choice is between e-mail or waiting for both parties being free for a phone/video call.

If it's really something critically important or urgent, you can still send an IM and just say some variation of "this is important / time-sensitive". If they don't respond or start typing within a minute or two, then you can try to call.

On the contrary, I would prefer to manage my attention, rather than have you manage it for me. That's where IM shines and phone calls fail.