Hogan reminds me of David Givens, though Hogan plays quicker and is more versatile imho. I think that, because of his size (6'1 and 220 lbs) and the fact he was a FB in his 1 year of college, that he'd be used in many different ways in both the passing and running games.
I think that the interest in Hogan is to replace Lafell. What Hogan doesn't bring is the electricity in the punt return game. And that is what the Pats would miss if they parted ways with Amendola. Might there be some correlation with the rumors surrounding Amendola? maybe. Who can say for sure.
I have a more negative take on idea of cutting Amendola. First, as others have pointed out, once he got healthy, he was clutch. Both down the stretch in 2014 and in 2015. He's also earned Brady's trust. And, as I mentioned, he's the Pats punt returner. I don't see the Pats coming close to a re-do of 2006 where they had only 1 WR that had worked with Brady. Yes, they'd have 3 this time going into camp, but having Martin and Dobson would be like having Caldwell and Gabriel again. (shudder)
I hadn't heard of Edelman needing a 2nd surgery. I would have thought they'd have done that by now if he did. Doesn't make sense to wait, imho.