We can play the "will Tucker have nagging injuries?" game and create narratives, but as of date, Tucker shows no signs of these. So while we can doom-boner it up and fear the unknown, we have his injury history and nothing on the list is concerning. All we can do then, is look at skill set and ask "is this a player who's skill set profiles as one who will age gracefully?" and I think the answer is a clear "yes".
There are plenty of players who are aging gracefully so far. Freddie Freeman has put up 30 fWAR from ages 29 to 34 so far, posting his best seasons at 32 and 33. Bryce Harper, a 1b/DH only has managed just under 12 fWAR from 29-32 so far with a 143 wRC+, which is right next to Tucker (and from ages 24-27, posted a 138 wRC+, which is spot on where Tucker's career line is). There's no sign of slowing down in Harper land. Jose Altuve has posted 25 fWAR from 29-34, is fresh off a 4 win season at age 34. His age 24-27 saw a 143 wRC+, or right next to that of Tucker. We should expect these players to start to decline in the next year or few, but they all have strong hit tools, and don't rely overly on hitting for power. They hit for power but don't use it as a riding skill - much like Tucker.
We can play this over and over. Yes, injuries can derail careers. Many of the leagues' best players, with solid skill sets age well if they can avoid the chronic injuries. If Tucker picks up chronic injuries, of course he won't age as well, but what is there to make us worry about that? Nothing at this other than the fear of the unknown. And if we're afraid of the unknown, then again, you will never sign a good player ever.