A little late for that since Wes Welker had already arrived and made the receiving TE unnecessary... Maybe if they were satisfied with what Watson or Graham brought to the table in 2006 they wouldn't have traded for Welker...but they did. Watson struggled with route running and adjustments and his hands and he never really got them all going at the same time except sporadically. And usually then he got hurt.
Watson never lived up to expectations. His college performance hinted he might not, but his combine performance seduced Bill to take a shot he could be coached up. Again, not for lack of trying, but he could not be, at least not as a consistent receiver. Had they ever hit on a complete, elite TE I'm sure he would have been utilized more. As it is, they used them primarily as blockers because it allowed them to continue to realize value by getting by with an OL not demanding first and second rounders.
As for Gonsalez, I recall one season when Bill and Josh coached the pro bowl and they were miked up while strategizing and Josh was suggesting a play...and the comment was made by BB with a smirk on his face that Gonsalez wasn't gonna block...which is likely why Pioli let him go to Atlanta. All he'd have done here is get in Welker's way...or siphoned off Moss' TD's or gotten Brady concussed to go along with his busted ribs and broken finger. There is no place here for an primarily receiving TE absent dramatic upgrading of the OL. And he's still gonna have to block well because if an additional receiving threat is really what you need an upright QB throwing to an above average WR generally gives you more bang for your buck.