Jim, The short answer "NO", or at least they should not. The T1 is a B400 and a "civilian" aircraft with no center thrust restriction on a pilot certificate.
Ref: FAA Order 8700
These are the aircraft that have no Vmc information:
E. Limited-to-Center Thrust Limitation.
(1) The military aircraft listed below have no Vmc established by the manufacturer. Other military multiengine airplanes may exist now or in the future for which there is no published data on Vmc. Military pilots who can only show qualification in those kinds of multiengine airplanes may only be issued a multiengine airplane rating with the limitation “Limited-to-Center Thrust.”
(a) T-2B/C Rockwell Buckeye.
(b) T-37 Cessna 318.
(c) T-38 Northrop Talon.
(d) F-4 McDonnell-Douglas Phantom.
(e) F-111 General Dynamics F-111.
(f) F-18 Northrop-McDonnell-Douglas Hornet.
(g) A6-E Grumman American Intruder.
(h) A-10 Fairchild Republic Thunderbolt II.
(i) F-15 McDonnell-Douglas Eagle.
(j) F-14 Grumman F-14.
(k) F-117 Lockheed Stealth.
(l) F-22 Boeing/McDonnell F-22.
(2) The “Limited-to-Center Thrust” limitation is not placed on a pilot certificate when the airplane has a V published on the airplane’s type certificate data sheet or approved flight manual.
