> you ask if you missed anything during the period
For high-volume, fast-paced channels this may not be appropriate. For slower channels where people rarely post anything, you constantly asking "did I miss anything while I disconnected" might be considered spam.
> I might not want a 24/7 archive
What you may or may not want has no bearing on what the technology should be capable of providing when others may require it.
Technology can, and already has, solved these problems. If that's not your cup of tea, fine, but don't impose your own use cases on others through "but it works fine for me"-ism.