Here's what I've deduced. You are correct that no player "sneaks" through waivers undetected. But likewise, your August 2nd plan would not actually sneak anyone through either. The chief problem with your August 2nd plan is your team was just talking to other teams about the player a few hours earlier, and apparently found the offers lacking. Literally nothing has changed since that point, so you probably know what teams will claim the player and what they will offer, and unless you've had a sudden change of opinion, you will have to reject the offer again, pull the player back, and you won't be able to trade them at all during the month of August regardless of whether the market might shift in your favor over the month. Not ideal. So instead, unless a player has a prohibitive salary like Nolasco or Brian McCann and you know they will clear (which is not really the case with Suzuki), you probably wait a bit to put them on trade assignment waivers, just to allow the market to change a bit so you can see some fresh partners/offers. It may not necessarily change in your favor, but I think that's understood to be an acceptable risk once you get to August trade waivers anyway. And while players don't actually "sneak" through waivers undetected, I think teams can time their waiver request to get players through (if not all the way through, at least through to their preferred trade partners) by looking at the standings -- who has waiver priority, and who is trending closer or further from contention. In the case of Suzuki, I am not sure of the Twins exact thinking. Maybe Seattle has gotten close enough to become buyers, but not too close to lose waiver priority? Maybe Seattle, Boston, Cleveland, etc. are doing well enough with their current catching situations that the Twins think Suzuki will go unclaimed, and can then hopefully continue trying to deal him for the rest of the month (if, say, Yan Gomes has a setback, or another player gets hurt, etc.).