The important skills and knowledged are learned during the MD or DO program, not as much before. The DO programs are essentially lower prestige MD programs with a different name.

If there was a significant difference in the degree program, they'd need different residency programs prior to practice, and that's not the case, AFAIK.

This is a gotcha only if you assume programs use perfect meritocratic measurement of your skills and knowledge to decide who gets in.

In real life, there is some correlation, plus other uncorrelated items and just plain luck ;)