Does midi latency depend on the audio interface?

Hi all, I’m a keyboard player and I’m looking for a new audio interface.

I’d like to know if the audio latency also depends on the fact that the audio interface has midi connections or not, I mean, if I use a vsti on an audio interface without midi connection and plug a simple usb-midi adapter in the pc will I see worse latency compared to a audio interface with integrated midi connections or not?

I hope my question is clear enough, I’m not a native speaker. Thanks.

EDIT: basically this is just to find out if I absolutely need an audio interface with midi, which limits my choices a bit.