I think the problem is that there isn't enough information to actually form an opinion, which leaves many of us filling in the gaps with our own assumptions, which is really bad reporting. It's reporting for the sake of controversy, and they are wrapping it in the guise of trying to do right by the players.
Any leader worth their salt knows that they have to understand the people they are leading so that they can create roles for them that they will feel invested in and ultimately perform well at. So Babcock trying to get to know his players is not all that strange. It's how that personal connection is being fostered that matters. You can't force a personal connection. It needs to be grown.
So if Babcock invites the players into his office, they start chatting and then organically it leads to showing some pictures on the screen, then that's fine. There is nothing wrong with that.
Even if Babcock sends out an email ahead of time to the team and says something like "Hey I'm new here, I want to get to know you guys a little better, so during our 1 on 1 meeting, I would like for you to show me some pictures from last summer around what you did" is a little more forced, but still okay because it isn't a surprise, everyone is on the same page for the reasoning, and there is time for the player to prepare.
But if the player walks in to Babcock's office sits down and the first thing out of Babcock's mouth is "Get out your phone and show me what's on it", then even if the reasoning is that he is trying to get to know them, that is forced, and invasive, which counteracts the part of trying to get to know them.
So without knowing how the whole thing shook out, it's really hard to judge whether this is something that is bad or good.