Simply put the fundamental characteristic of an analog lens tends to be that the light rays as they exit the rear element spread out to form the image on the film. All the corrections for distortion or aberrations are done before the light hits the film as part of the lens design. In the corners in particular the light rays can hit the film at a very oblique angle.
A digital sensor has photo sites, the individual light gathering lenses, that are best at collecting light projected directly at them. Rays of light hitting them at an oblique angle, as would be the case with an analog lens used on a digital camera, can cause 'smearing' of detail in the corners for example, as the light rays skim across the top of the light gathering sensors. So to compensate the fundamental characteristic of a lens designed for a digital camera is that the light rays exit the rear element as parallel as possible to each other and hit the sensor square on, this is a telecentric designed lens. To allow the lens to be as telecentric as possible, and often to help in reducing the physical size of the lens, corrections for distortion etc. are done in the cameras software, the Firmware.
So ignoring the simplistic concern of 'is the image circle projected by the lens big enough to cover the film' we will find that some digital lenses will work better than others. There is no rule that can be laid down, because the design of the lens is often matched to the design of the sensor. And over time as sensor design changes so does the lens design. Some of these lenses, the simple designs especially like tele lenses, will be fine on film cameras all other things taken into consideration. But some may show some distortion, maybe vignetting, and chromatic aberrations, etc. and of course there is no firmware to correct this.
Steve