Fly my 337G?

[rhurt]

If you have a multiengine rating you log multiengine time. The FAA gives a multiengine rating and limits it to centerline thrust if the test is taken in a plane like an F-111, F/A-18, F-15, T-38, O-2A, or C-337 that has no minimum controllable airspeed. All are multiengine aircraft.

If you want to fly a conventional twin like a Baron or B-737, you bet get the CLT restriction lifted by flying an abbreviated checkride in a plane that will show MCA. The time you logged previously still counts as multiengine for advanced FAA certificates like Commercial or ATP.

If you want to buy insurance for an aircraft, the insurers will have their list of requirements and rates. I bet a 150-hour pilot will pay a higher premium to fly a Baron than a 2000 hour pilot who just got their CLT restriction removed.