So, Cosmic Circus said that Vision Quest has some connection to Agents Of S.H.I.E.L.D. I fucking hate scoopers, but I really hope this is true. So, since we know that Vision Quest is bringing back other AIs like Ultron and EDITH, having LMD Coulson shouldn't be that much of a stretch. Also there's the whole Ship Of Theseus, that LMD Coulson already went through, and White Vision is going through the same thing, so Coulson could help him with those questions about himself because he went on a similar arc.
Could LMD Coulson be in Vision Quest