The speculation about players must bother them, particularly when there is little chance of any trade being made in specific cases.
I prefer to think in terms of the basic goals as Bloom has already stated. He has been tasked with making the team consistently competitive. Unstated, but probably also likely, is that he wants to put an improved team on the field in 2021. To do that, he needs to retain the core players and also perhaps a few veterans who will help the team during the transition and be gone after 2021.
To do that, Bloom has to get fair value for those who don't fit the status of core player or short term help for 2021. I doubt if he can trade all of those that don't fit the want to keep categories by Aug 31st. He also has to listen to any offers for our want to keep list, but the offers have to blow him away to be considered, meaning they have to have the appearance of a clear trade win for the Sox. A swap of Beni for Judge would be an example of being blown away ( joke but it demonstrates what being blown away means).
I will consider his trades on the basis of the principles above.