I think the proposed 5 team trade is far-fetched but who knows. While they are at it, why not include Cleveland so that we get Thompson in a sign and trade (instead of the non-tax mid level exemption) and then Milwaukee can send something worth $2.2M to CLE to make the trade work (based on Darth_Yoda's numbers).
What this does is reduce the TPE we get but keeps the non-tax MLE available. That means we can either sign someone directly using the MLE or still have the TPE to go after players with trades. The net contract value we can bring in is the same but it gives us more flexibility either trade or sign.
The limitation with this is that we couldn't trade for a single player worth up to $30M without sending back something but I am not sure how likely it is that there would be a $30M player that we would want that would be availale for draft picks. I think these are more useful as being broken up and used to fill in with $10M'ish players around our core.