Not that I wouldn't like to see it or, for that matter, no restrictions whatsoever however, to your question, the answer is no. Here's why.
Let's use Michigan and Maryland for an example. Maryland's criteria for a person with a disability to use a crossbow during the archery season basically states that you simply need to obtain a letter from your personal physician that states in his/her professional opinion that you have a disability (of any type) that render you unable to use a regular bow.
Michigan on the other hand, has the most restrictive criteria in the USA for a person with a disability to obtain a permit. It is limited in the type of disability that is acceptable, it must be a "permanent" disability and it must be at least 80% degree of severity.
So, even though you may qualify under Maryland's criteria, unless you meet Michigan's criteria, you cannot hunt with a crossbow. In other words; no reciprocation.
And just to let you know, the folks that help write that criteria back in the early 1990's, The Michigan Bowhunters Association, recently put out this statement in response to some changes that were being explored by our DNR to reduce some of the criteria:
The Michigan Bow Hunters Association Position Statement regarding propose crossbow regulation changes and laser sight usage
The Michigan Bow Hunters Association does not support using age as a condition for determining crossbow eligibility. Eligibility should be determined by need on a case by case basis.
MBH supports the current standard for determining crossbow permit eligibility for physically challenged hunters. However we are opposed to lowering the level of permanent disability from 80% to 60%. Our Association acknowledges that the current evaluation process for crossbow permit applicants is expensive and frequently abused.
We therefore support removal of the physician from the evaluation process as a means of addressing both issues. Also, we would be very supportive of a more vigorous scrutiny of crossbow permit applications by the DNR Law division to further address the abuse issue. In addition, there are other issues with the crossbow permit system not mentioned in the proposal. We look forward to working with the NRC to resolve these concerns.
Some great sportmen's group, eh?