I kind of figured the Lightning would grab him since (as long as no other team put in a claim) they could send him straight to Syracuse and had invested in him for next season as well.
Wings pretty much just borrowed him from Tampa.
To go along with the left on waivers and quickly back from waivers discussion above... Manny Legace was another example. Got claimed by the Canucks to start the 99-00 season, then got waived two weeks later and reclaimed by the Red Wings and sent to the minors. There used to be an old article still floating around on the web that seems to have now disappeared that explained that it was an agreed up thing between Holland and Burke. The Canucks, who were like #3 in the waiver order at the time, would claim Legace with that high priority to keep him from going to another team and would then would borrow him to use as a backup until both Garth Snow and Kevin Weekes were healthy since, for whatever reason, they decided they didn't need any goalie depth beyond their NHL guys other than a 22YO undrafted college UFA with no pro experience. IIRC, Snow got re-injured in his first game back, which came within a day or so from when Legace returned to the Wings.