As of RFC-500 and its implementation in DM-15139 we have now standardized on the method name inverted to return an inverted transform. Formerly we had a mix of getInverse and invert.
Transform-like objects in astshim and jointcal were changed because they are not widely used by other packages. However, transforms in geom and afw still have their old methods (as well as inverted) for backwards compatibility. The old methods are documented as deprecated.
I also updated all the stack code to use the new methods. I plan to remove the deprecated methods after the next major release using DM-15417