Sorry, but I've gotta LOL when you use the word 'invest'. We're talking about a 5th WR/3rd TE/special teamer here.
BB meanwhile has regularly used roster spots on pure special teamers before.
In fact I remember BB converted Mike Vrabel, usually a defensive end, expressly for the purpose of catching touchdown passes to get a big body in the red zone.
I see LJH as offering versatility which is what BB tends to like. He offers extra WR/TE depth, special teams, and big body for the Red Zone where size becomes its own talent.
I get why people are afraid of big body receivers because of the huge BUST that was N'Keal Harry. I'm sure many are scarred for life. But I don't see that here. NKH never seemed to work hard enough or ever get the playbook, he was more interested in posting slow-mo workout videos on instagram than actually earning his spot on the field.
LJH was picked up from the free agency scrap heap and is busting his hump to earn any roster spot possible. I'm not against it. I believe game 3 of preseason will be huge for his chances.
I tend to give LJH better odds to make the roster because both BB and Mac Jones have spoken highly of him.
BB:
"He’s come in, really worked hard and made a very positive impression here. We’re glad we have him.”
Mac:
“I think L.J. is a beast. And, when he got signed here, I remember I texted him and asked him if he wanted to come catch, and he immediately responded and found a way to make it out to where we were and came to our throwing session. He’s a grinder. He’s a big dude. He’s great on special teams, too.”
article:
Patriots WR makes 'elite' special teams play Matthew Slater doesn't think he could make
Will he make the roster spot? Can't tell yet but he's got as good a chance as any bubble player. Both his QB and his coach speak highly of him and he adds something to the squad, a big body in the red zone and special teams ability.