Of course Discourse is searchable, it wouldn't be much of a discussion board if it wasn't. Many Discourse-based fora I've been on even do a live search as you type the subject of a post, something that turns out really handy for community support boards.

Discord's lack of searchability is certainly a biggie, but having all history locked away and unexportable in any way is the worst part of it.

And damn the two similar names are confusing, I find myself typing one when I meant the other...