Eugene Melnyk knows how convenient the timing is for a prospective buyer should they choose to swoop in.
That's why he threatened to sell off Karlsson to the highest bidder at the deadline (and why he wasn't traded, too). That's why he's making it all but a foregone conclusion that Karlsson will be sold to the highest bidder at the draft.
Eugene has a price tag in mind for the franchise which has been balked at (Desmarais). The Karlsson saga is a pressure point he's using to force the hand of the prospective buyer. Eugene will sell if his price is met, or he'll hang on for dear life and follow through on his threat to cut costs down to the bone if it isn't.
Keep in mind, Eugene is not interested in investing at the level that would put the Senators in contender status in the short term (within 5 years). It's actually rather shrewd considering the chain of events that will take place in that time frame.
Should he remain owner, his plan is likely to bottom out and spend close to the floor in the next few years, acquire and develop high end talent, and wait on his Seattle bonus money, followed by watching the value of the franchise skyrocket at the completion of Lebreton. By that time, high end youth would ideally be propelling the Senators back to contender status, and fans would be forgetful of the lows they experienced while running out the clock in Kanata.
As well, who's to say Eugene is interested in spending money to see us contend, only lose another potential championship season due to lockout (2021-2022)?
All in all, either his price is met in the short term and the team is sold with Karlsson staying put, or he hangs on for Lebreton, with a rough patch in the interim, but us fans naturally return come Lebreton. That's my theory.