You are right.
Those that recognize Michigan issued permits are:
Alabama
Alaska
Arizona
Arkansas
Colorado
Delaware
Florida
Georgia
Idaho
Indiana
Iowa
Kansas
Kentucky
Louisiana
Maine
Mississippi
Missouri
Minnesota
Montana
Nebraska
Nevada
New Hampshire
New Mexico
North Carolina
North Dakota
Ohio
Oklahoma
Pennsylvania
South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont (does not require carry permits by residents or non residents)
Virginia
Washington
West Virginia
Wisconsin
Wyoming
Again, anyone traveling in one of these states needs to check their laws, which in many instances are available on that state's website.
Those states who do not recognize non resident permits are:
California
Connecticut
Hawaii
Illinois
Maryland
Massachusetts
New Jersey
New York
Oregon
Rhode Island