This is the wrong forum for asking questions on critical dimensions.
I remember years ago when I was the Quality Manager of an automotive supplier and I didn't know how the part fit or functioned and I had to come up with a Control Plan for our plant. I phoned the Customer drawing Designer and he stated "everything" on the drawing was critical. That didn't help so I phoned their Quality department and they told me how the part fit and how it functioned. The development of our Control Plan was based on that discussion. It costs $$$ to check or confirm every cycle a dimension that has no bearing on its function and relationship. That is a waste of $$ and drives the product costs up. All dimensions are confirmed yearly but on the line, only dimensions that pertain to its function, reliability and appearance are confirmed on a regular basis.
Critical is a dimension where if it is out of specification it could affect safety of the end product and has a rating of 9 or 10 in your process FMEA (failure mode and effects analysis). Other dimensions that may affect the function and relationship are considered "Major" and must be controlled on a regular cycle basis on the line. This statement is out of the AIAG process FMEA requirement and, I think, makes sense.
Critical dimensions in the automotive field relate to dimensions where there is a statistical control required and it became a game in the past. We had charts all over the place with many having no meaning whatsoever. It is a bit better now but some Customers still plaster their drawings with symbols meaning "critical" so the game continues and the product costs increases.
At one time, GD&T applied to dimensions that affected the parts function and reliability but not now. Although this statement is in the newest ASME Y14.5-2009, most Designers apply GD&T on all dimensions except ones that are features of size which have a +/- tolerance. So, if you receive a drawing with the application of GD&T on pretty well everything, still find out which dimensions affect the part's function and reliability from a Customer's perspective. The term "Customer" is also the next operation on the line. Not all GD&T applications are "Critical" or even "Major" in importance.
If your company wants to place "Critical" dimensions on the drawing again, as Frank has stated, make sure that you can tell the supplier how it affects safety of the product or, at least, impair the function of the part.
Hope this helps.
Dave D.