I have several 6000 series/2000 Husqvarnas ("several" being hoarder talk for more than three); I'm fairly sure that 20 needles aren't a problem, and 22 may be ok, but I'll dig up one of the manuals. There were several rug making accessories designed for those machines, which implies expecting such use.
You can also hand load much thicker thread on the bobbin, and use a regular thread up top. That way, you'd completely bypass the needle eye issue.