@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?
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?