I very much highly doubt it. Unless a team picks up a player, they get playing time struggle and get re-released or waived. Picking up a player only to waive him days later is going to be frowned upon and look bad.
Outside of the relievers, who could certainly help a pen, who is moving the needle? And significantly at that?
Giolito? In 6 starts for the Angels, he has an ERA of 6.89, a FIP of 6.82, and has given up 10 HR in 32 innings.
Renfroe? He's hitting .217/.315/.362 with an OPS of .677 in 159 PA since the break.
Grichuck? Since going the Angels he has hit .165/.212/.351 with an OPS of .561 in 104 PA
Bader is a .239/.,275/.365 with an OPS of .640. He could add some value on defense.
A lot of posts insinuate that the Angels are waiving big stars that are going to be very valuable, when every guy has struggled.....and pretty mightily. I think there is some depth to be added and I fully see why a team like the Angels would do it. I also see zero reason for the league to get involved.