Mystery Part '65 Barracuda

Thanks all. I took the car apart 13 years ago and this one had me scratching my head. I found the illustration in the parts book on page 9-26. On page 9-48, it just specifies for 273 Dart, Valiant, "Engine rear support insulator". No mention of trans type.

View attachment 1715766779

I have the same part in my original /6 powered 64 Valiant. It has the factory 3 speed manual.
Chrysler tends to "beef" things up on stick shift cars to allow for the shock loading. But didn't they realize how easy it was to do a neutral drop with the pushbutton trans?