I haven’t flown either type, but the difference appears to be that in your case with the flap retraction there was a nose down pitch change, whereas with the shorts there was a longitudinal acceleration. As I’m sure you know the normal trigger for the SI is longitudinal acceleration that is perceived by the pilot as undue pitch up, which is corrected by deliberate nose down inputs, that exacerbate the acceleration. Etc etc
What was the airspeed doing in your Lincoln?
The classic accident pattern of a somatogravic illusion is the steadily increasing airspeed, something that you don’t mention as being a factor in the Lincoln incident, which from what you state sounds like poor scan. But the steadily increasing airspeed was present in the shorts accident.