I doubt there is a consensus, but I’d be interested in hearing what caffeine, et al have to say. Presumably it will be colored by whether they are DOs themselves.
I think that their degree doesn’t matter as much as their residency program. If they did a DO degree, but did an MD residency program, then they are very likely more similar to MDs than other DOs. But even that comparison is flawed as presumably only the better DOs get into MD residency programs.