I've been thinking about this question since I read it earlier today.
I agree with the general consensus that it's really the skillset, not the medium, that makes the difference.
I think the digital age has brought about a higher level of opportunity for all users.
Yes, there is more fluff visible, but there is also more good to excellent work being done by people who now have access to better tools.
Like you, I learned photography on some pretty basic cameras.
I think my old Argus C3, light meter, and Ektachrome 64 was a great learning experience.
It taught me a great deal about how light behaves, and how to control what I captured on film. Over the years, I advanced to better cameras, but the lessons learned stuck with me.
When I got a digital camera, the ability to control it manually was absolutely essential.
I'm inclined to believe that what we learned with analogue photography does give us a leg up in the digital realm.
As for audio, I have hours of reel to reel tapes that I couldn't really do anything with.
They exist in their raw, unedited form, because I did not have the tools to move forward with them.
Enter the DAW. It's a whole new world. The dream realized.
Would experience with analogue equipment have given me an edge here? I don't know.
I do know that I have learned more about sound than I could have imagined in the seven years since that fateful day when I peeled the plastic back from the SHS4 box.