That last sentence is utter crap.
Easy.
What you're talking about are great big men, and I would agree entirely. I'm currently looking for the player you're talking about and it hasn't been easy.
But understand that you're in DII, I'm in DIV along with the majority of the people in America who are in IV or lower. The "good big men" you're looking are far different than what others are looking for. So, in your personal case, you are absolutely right, and I should have been more detailed explaining my personal case. But, in DIV a player with IS/ID/RB of 12-13+ and 5 passing would be more than serviceable.
It's serviceable in II as well, because there aren't many choices available.
My best center has 5 PA and no skill above 13 (which is why I'm training a better one). But I wasn't making a point specific to divisions.
Managers in BB as a whole, for far too long, have trained only three skills on big men. Sure, there's the occasional guy with some SB, but it doesn't give enough return for the salary. There are guys with JS or DR trained up a ways, but the vast majority of big men available in BB have but three skills.
Nobody would buy a guard who had only JS, DR and OD (which may be serviceable in D4, I don't know), yet we bemoan the fact that centers with only three skills sell for next to nothing. Part of the fault lies in how secondaries have trained in the past, as they are more rewarding to guard trainers than big man trainers (quick, name a guard training that also trains handling; now name a big man training that also trains handling), but the rest of the fault lies with the managers doing the training.
The only thing that will level the playing field between guard trainers and big man trainers is for those who train bigs to simply build better players. There's a finite amount of money in the game, and you can't spend it all on guards and SFs.