As a note, the code for quotes in Conversations is a tiny bit different vs threads in xenforo:
[QUOTE="Name, convMessage: 19831619, member: 93653"]
Test
[/QUOTE]
Thread Quote:
[QUOTE="Name, post: 11394125, member: 9058"]
Text
[/QUOTE]
I also noticed that quoted posts in topics with the correct names, also don't link back to the correct post, but I'm uncertain if that's something that's supposed to convert over. I'll settle for names in quotes and mentions working in PMs.