While this could certainly happen, your response doesn't really even make arguments for or against the other teams.
I really want to hear how a team in the Western conference, with the same record as us, that will LOSE this lottery pick if it is not in the top 5 will not attempt to tank. We can just say "blah blah the celtics suck and will lose" but why are these other teams not doing the same things?
I think of it it as a venn diagram like this:
The Lakers, Pistons, Pacers and Hornets all have both players and front offices that are trying to win games.
The Celtics, Jazz and Nuggets have front offices that are trying to lose games, but players and/or coaches that are trying to win games.
The Knicks, 76ers and Timberwolves all have front offices that are trying to lose games and players that are not worried if they win or lose.
So I see the three teams in the last group as the most likely teams to be in the bottom 3, since nobody has any incentive to win games this year. The front office won't add anybody good, the coaches just care about developing talent and the players won't be blamed for losses, since nobody expects them to win.
We're in the middle group, so our GM is actively doing things without regard to if we win games this year and we just lost our star player. Our players and coach however would definitely like to win, but we have a logjam at a bunch of positions with solid yet average players. They'll beat the bad teams, but night to night we're not going to do so hot. The Nuggets and Jazz are in the same boat, but even though they're in a harder conference, they have better overall teams. I don't see either of their GMs swinging for the fences in a trade this season, though.
The first group is a delusional bunch that cares more about pride than actually being good in the long term. While the Eastern Conference teams could all conceivably make the playoffs at least, the Lakers have 0 chance at making the postseason. I don't get what's going on with that team other than that Kobe is an ego maniac and Lil' Buss has no business running a team.