Hello, yes, libvips just does the rotation modes, not the flips.
https://libvips.github.io/libvips/API/current/libvips-conversion.html#vips-autorot
I've never seen a flip mode in a real image, only in test suites, so I thought it wasn't worth implementing them, but apparently there are a few real cases.
There's an enhancement issue here: https://github.com/libvips/libvips/issues/1461