Are parts parameter supposed to agree with each other in datasheets
Yes, what you see is common.  Each spec is a limit on its own.  Under some conditions somehow, you can get the maximum collector current thru the thing.  That doesn't mean it can sustain that, especially when other maximums are reached.

About all the max C-E current spec tells you is the maximum short term pulse current.

Transistor datasheets are notorious for citing a high current in the marketing blurb at the top of the page, but after reading other specs you realize there is no way that current can ever be sustained due to the maximum dissipation spec.

Unfortunately, that's the current state of datasheets.  The best practice is to totally ignore the bullet points in the front.  Only the real min/max specs matter.