@DJD welcome to the forum.  You said your purchased two dies, a 22-250 (modified) and a 22-250AI.  You posted a photo of a case through the 22-250 die (modified) on the left and a case on the right through a 22-250 die non-modified.  Nether are 22-250AI, so I'm assuming we are not discussing the AI die.  If you have a 22-250 non-modified die, why not just use it?
At any rate, I would recommend as posted above, if you don't already have one, purchase a new 22-250 FL die from the brand of your choice, so if you have problems you have the manufacturers support.  Set it up by the manufacturers instructions.  I prefer Redding, but your choice may differ.  I'm going to also assume your rifle is a factory variety chambered for 22-250 Remington, is that correct?  If your rifle has an after market barrel, please post about it.
Also, just curious, what is with the 22-250AI die?  Was it just part of the package you purchased or do you have a rifle chambered for the AI version, or something else?