It looks like there's a strong desire not to have training updates publicized to buddies. I agree with this on two counts:
First, I want to be able to pick out what my Trainer is reporting since I don't always remember what I was training (old age is like that...)
Second, it creates a Supporter advantage, since if I want to see what my rivals are training, I can make them a buddy and see what their trainer reports. (Sure, I'd have to figure out which trainer is for which team, but I'm pretty smart in a few weeks using the process of elimination figure it out.) When I'm setting my lineup towards the end of the season, I can take another team's training into account when I'm trying to figure out what sort of lineup I'm going against.
Don't ask what sort of Chunks they are, you probably don't want to know. Blowing Chunks since Season 4!