That's a good question. I don't think he'll try to avoid anybody that's for sure. He beat Herbert is a close match for the Midland's title a couple of months ago.
As for being the aggressor, I guess you could say he made more shrug and slide attempts, but neither of them was anything close to aggressive. "chuckin" is really the only one of the things you listed that describes Varner's performance. I just watched the match again. I won't claim that I was able to pay as good of attention to it as I would have liked because it's even more boring the second time, but by my count varner took 4 shots, 1 of which was out of desperation in the closing seconds of the match after Pucillo had assured riding time. Pucillo took 1 shot and 1 reshot, and was very close to taking Varner down twice (Once would have been a TD but was out of bounds, and the other was as the clock ran out in the very end. Both of them were in OT).
Varner was never this close to taking Pucillo down, so I guess if either one of their defenses were better, it was Pucillo's.
Again, I am really not saying that Pucillo was a clear winner here; six seconds is pretty inconsequential. Neither wrestler created much action, but Varner did work a little more to create it.
I'm merely countering the argument that he was aggressive.
Varner will be the new DS if he doesn't reinvent himself. All decent 184's will just push around with him for two periods and then try there luck in the third period with a takedown attempt. He will still win alot of matches but he will also continue to start losing more often in my opinion.