Using the same function that the NRMP used (eligible and participating students that matched/the total number that were eligible) you get:
0 MDs matched/0 were eligible
Anything divided by zero approaches infinity. So to answer your question, the match rate is infinity. haha
First, osteopathic residencies are almost universally inferior to ACGME (MD) programs. They tend to be smaller hospitals and community hospitals often in the middle of nowhere which means you get less volume and see fewer complex things. The complex things get sent to tertiary or quarternary care hospitals, which AOA hospitals are not.
Furthermore, most DOs know this and shoot for the ACGME programs (81% apply to ACGME programs). Look at the AOA match data, there are 2553 spots. There are 1300 fewer AOA residency slots than DO grads. Still, only 65% are filled. That speaks volumes about how DOs feel about their post-graduate training.
Even including the AOA match, there are 11% of DOs that still don't match?
Finally and most importantly, the original assertion was that when compared to MD students in the match: "No matter the cause, DO students are at a disadvantage in the match as compared to MD students."
This assumes we are talking about the NRMP match since that is where DOs would be compared to MDs. In that match (again which 81% of DOs apply) 71% match. Note that in the ACGME, some pre-match, don't get enough interviews so opt for only the DO match and some choose to go through the DO match. These applicants are not included in the 71% stat. If you change it to compare how many apply to ACGME vs how many match the match rate would be 49.7%.
It would be great to have the data to see what percentage of DOs who drop out of the NRMP match don't have a chance to match and self-select to the AOA match. We don't have that data to my knowledge.
So to summarize, when compared to their MD counterparts, in residencies for which 81% of DOs are shooting, 71% of those who choose to completely go through the NRMP match do successfully match. 94% of MD seniors match in the NRMP match. 49% of DOs who intially start out with the NRMP match do match Only 89% of DO students match.
Now given the above, tell me the playing field, for whatever reason, is level. When you get past your first year and actually go through the match, come back here and tell me if I was off base (hint: you won't).