Khaelis
Bell Tree Forum's Resident Hybrid Addict
As I stated in another thread, @toonafeesh and myself just tested if Skye would bug out, and I was able to invite her without issue. I spoke with her dozens of times and she wasn't able to be re-invited not even once. Got back to my island, and she's claimed her plot! @toonafeesh also did this with another person (her friend, iirc) and they also had no issue with it as well.
However, I would still proceed with caution--just incase! Double check if you're inviting a villager.
Update: Since when I invited her, I had already had a previous plot claimed so they had to move in first meaning Skye's move in was delayed by a full day. She was in boxes unpacking yesterday and today she's unpacked and is wandering around in her house with no issue.
HOWEVER, still proceed with caution and use methods to double check by checking if you can re-invite after the initial invite, speaking with them a few times (3-5 times). I did this with Skye when we were testing it out, and I had no option to re-invite Skye.
That said, I'm very certain the glitch has been fixed as no one has since reported experiencing the glitch since 1.2.0 released.