Stop in for a cup of coffee

Yes

Pushbutton

Seems that outside of the linkage cables, the body of the transmission itself would be that same? (talking Slant 6 to Slant 6, not a V8 drivetrain)

https://streetsmarttransmission.com/diy-transmission-flush/
Nope. Now for a flush it works the same way. But the cases are different as is most of the internals.