Adjustable Mouth Block Plane or Rabbet Block Plane

I am about to pull the trigger on a new block plane and need to make a decision that I was hoping others could help me with. I am going to upgrade from a Craftsman Adjustable Block to either the LN Block Plane or the LN Rabbet Block Plane. I like the adjustability of the mouth of the A. Block Plane, but I like the way the rabbet block can snug right up to the cheek or shoulder of a tenon as the blade can be registered right up to the outside edge of the plane’s body. Some will undoubtedly say that I can’t go wrong with either choice, but what will I miss if I cannot adjust the mouth of the Rabbet Block plane like I can with its Adjustable cousin? There are a lot of hand planers on this site, so I am anxious to here the feedback. Thanks in advance.

-- Langski, New Hampshire