I would say false. The NBA is a star-driven league. Youth, depth, and effort can win you games in the regular season but it can't in the playoffs when opposing teams play their stars more minutes and know they can't take nights off.
Without the Nets/Dallas picks giving us hope we'd really be in a tough spot. We have no stars and little shot at a top draft pick next year. The only hope is that some star becomes available but as we saw this summer they don't want to play with the talent currently on the team. Next season every team will have cap space so we don't even have that advantage anymore.
It's not hard to build your bench once you actually have stars in place because they'll be willing to take discounts to play for you. Also most of the players on the team currently could have been had with mid-late round picks anyway, which means there would have been ways to acquire them even if our team was doing well.
The Celtics played it right last year, the ping pong balls just didn't fall the right way and they also lost a coin flip. You have to be wiling to be bad multiple years in a row if you want top talent unless you are some kind of flawless drafter (which doesn't exist).
Also, I think there are a lot of teams with a good or better young talent out there, it's not just the Celtics. Even if you argue the Celtics 7th, 8th, and 9th guys are better than most teams that's really not worth much. Try trading 5 OK bench players for a star and see what response you get.