If there's any truth to that tackle story (it may have played into it, but I think the draft pick upgrade means more for a team that knows they're not going anywhere this year) then all I have to do is point to Shaun Suisham. By making a tackle in the first pre-season game of the year last year Suisham effectively cost himself millions of dollars (would be entering year 3 of a pricey 4 year contract this year, rather than being effectively retired with a career-ending injury) and cost the Steelers a lot of heartache, a draft pick, and a game as they scrambled to find a replacement kicker.
It's one thing if we're talking about a playoff game, but I never want to see a kicker/punter trying to make a tackle in a pre-season game after that. Again, though, I think the pick difference was the motivator for the Browns here.