I was talking about what was on the card itself rather than the interface, because the poster I was responding to mentioned the card, but your point about interfaces is well made.
Back in the day - late 80s, very early 90s - I’d see Amstrad (ugh!) 286-based desktop systems on sale in our local branch of Dixon that included graphics cards fitted with VGA chipsets, but cards compatible with the AGP interface on then newer motherboards didn’t cross my radar until the second half of the 90s.
A Local bus ?
The VESA Local Bus (VLB) was a thing in 486 boards and, I think, early Pentium boards. but was predated by privative local buses. I don't know if there was one on 386 boards.
I just looked up a few old motherboards and I think you are correct! I remembered it was a brown PCI-looking bus and incorrectly assumed the only thing that matched was AGP - the VLB looks exactly like what I remember.
Do you mean VGA rather than AGP? AGP came much later than the 386 and wouldn’t have been supported by its motherboard chipsets.