Direct quote from what we'll term a "high integrity source":
"After last year's uproar 1 OR MORE teams spent all day with illegal offers on one OR MORE free agents with the intention of pulling it back after the 11:00pm cycle to a legal offer."
Although we have yet to confirm, we at Hobbs Headlines take "illegal offers" to mean offers that are in excess of the Private World Rules individual salary cap (15+5 for first year, 15 tot in subsequent years.
If that's the case, I guess the play is to convince opposing bidders to go up to the legal max, and finding themselves outbid, give up and go elsewhere.
Another interesting point here: the Private World Rules talk about illegal contracts, but say nothing about "illegal offers". Technically, the strategy above is legal, perhaps a bit shady and possibly ingenious.