No. It does not exist because "many people prefer it". It exists because email providers simply haven't killed off that service yet. POP3 is ancient. It was never designed to be used with multiple devices. You stand a higher chance of losing information when it doesn't play nice with the 'leave messages on server after download' request, which was tacked on to the standard as an afterthought, than you do using IMAP or Exchange protocols.
The only reason it still exists at all is because it doesn't cost the providers anything to leave it turned on. It's there. It "works", more or less... why bother disabling it?
1. That has more to do with how you manage your email than anything else. I'd much rather file it into a folder that makes sense than wade through hundreds of emails in my inbox trying to remember what I've already dealt with and what I haven't.
2. No, IMAP retrieval is not "glitchy". That's a problem with your email provider. Not IMAP.
3. False. Your perception of it may be different, but POP3 is not inherently "faster" than IMAP.
4. Or you could you know... just make backups on a regular basis.
I use multiple gmail accounts (IMAP), and multiple Exchange accounts. Having to manually manage those on multiple devices would be a nightmare. I don't want to have to delete or file something more than once. Life's too short to waste time like that.