Thinking about this narrowly, we have seven games left. In all likelihood the worst three teams are out of reach. Utah and LAL are our "competitors"...so let's say we are looking at finishing 4th, 5th or 6th. In some sense we control our own destiny - if we lose out, we will at worse split the 4-5 slot ping-pong balls with UTA.
Now, suppose Stevens goes all out and tries to win every game, and we end up with the 6th slot. This gives us a 6% chance at #1, a 22% chance at a top 3 pick and a 22% chance at a top 5 pick (because the 4th and 5th are never possibilities).
Alternatively, Stevens can do a few things to give us the best shot at the #4 pick. In reality this probably only means "tanking" for 2-3 games, because we have some tough games we'd probably lose anyway.
If we do that and end up 4th, we now have a 12% chance at #1, a 38% chance at top 3, and a whopping 83% at top 5.
We would be doubling our chances at the #1 pick, improving our odds at top 3 from 1 in 5 to 4 out of 10, and improving our odds at top 5 from around 1 in 5 (22%) to a better than 4 out of 5 (83%) chance.
To swing the odds this way, Stevens might have to do things like sit Rondo for a few games, reduce the minutes of anyone who's hot (say from 30 to 15) here and there, and maybe play some of our deep bench guys in the name of "giving them a look for next year."
To me these tradeoffs - particularly if they mean swinging us from a 22% chance at top 5 to an 83% chance of top 5 - are no-brainers. We're almost at the goal line and we're talking about doing a few things differently in maybe 3-4 games that would otherwise be winnable.
Curious to hear from those on the other side - why do you think it's worth it, in a season full of losing, to go all out over a few games when it reduces our chances of a top 5 pick from a great chance (83%) to basically a Hail Mary (22%)? What's the upside of doing that?
And please don't say "the lottery's a crapshoot" or provide counter-argument examples involving teams who in some past year won the lottery from a low slot. The odds are what they are, and the fact that things are random doesn't mean you should prefer 1 in 5 odds to 4 in 5 odds, or not care about the difference.