There is some discussion of oil distribution grooves in the "Tribology Handbook" by MJ Neale 1973
Section A11 for cranshaft sleeve bearings, and section B7 for other sleeve bearings. If you can get hold of that reference it may answer your questions.
The crank-case section states:
"Any hole, slot, or groove in the housing behind a bearing is dangerous because it promoates undesirable delection, fretting, and cracking."
I interpret this to mean you should be very careful if your groove goes beyond the babbit.
One thing I gather is that an axial groove should not extend the full length of the bearing (although it looks like it can come very close).
Partial circumferential grooves and axial grooves will both have an edge that lies in the axial direction. That edge should be smooth transition to avoid erosion of the surface downstream of the groove end.
There are 9 figures illustrating various aspects in the crankshaft sleeve bearing section and several more in the general sleeve bearing section. Tough for me to convey the whole thing to you without the figures. Also copyright restrictions would prevent me from copying it directly.
Maybe a bearing or equipment manufacturer or large motor rewind shop can provide some more info.