Along the same lines, I was publishing church services each Sunday between May and December of last year, with three English hymns in each, mostly old ones well-known across denominations. In total, I got 23 Content ID claims (about 20% of the hymns), claiming ownership of the melody. Every single one was for a work in the public domain. I disputed each, providing the name and date of death of the composer. Two were…
While the sheet music is, the performance by other artists - as your own performance - is not. That's the issue the algorithm is having here (not defending).
The automated system would need to "understand" that this is indeed a new performance of a public domain piece of sheet music and not a reproduction of a copyrighted performance by somebody else. Even if you were note for note playing exactly the same (tempo and whatnot) with the same instrument tuned the same way. I think this would be an argument against automated systems. Whether a human could know that my bike-ride was scored by myself and not somebody else is doubtful though.
On the other hand, I do understand that people do not want their individual performances to be used without licence and there may be many such performances.