the fault in your logic here is "anywhere that recognizes MD degrees." There is a big fault in most peoples logic as the MDs they know are either US or carib. You are from BGU and I can't personally speak of it, but I can speak on european MD degrees and african MD degrees (with one exception, I believe ghana).
They don't transfer over. Every country gives an MD degree that is *only* accepted in their own country. At least inherently. It is a country-by-country decision if they accept foreign doctors and nearly all of them don't. The reason why we get so confused with carib is because most of the countries have arranged *completely unique* deals with the US where their degree is accepted without strings attached. There is no european nation, and to my knowledge only one african nation, that has a similar deal with the US. They have to jump though many many hoops to come back to the US.
And the US isn't a particularly hard nation to practice in (its about average, from a restrictions POV. Its obviously incredibly hard from a 'need to get a residency' POV). Nations like Spain, France and Italy don't let any other nation's MDs practice in their country without some crazy additional training and testing.
MD degree is not a traveler's check, nor is it Visa or Mastercard. It is *not* "accepted everywhere" except within the country the degree is given in. BGU does *not* give an american degree and their degree is *not* accepted everywhere. What it does have is a respected degree, so that it can be allowed to jump through all the ridiculous hoops for qualification, rather than being outright denied as many other country's MD degrees might be. There is no degree that is more or less immune to jumping through the hoops, it is simply a matter of respect to be allowed near said hoops to begin with.
DO degrees have the same respect US MD degrees have internationally. The sticking point you tend to see if countries who either dont want to let any foreign degree in (affects all degrees) or who want DO's to get dual degreed and practice as "MDs" in their country, so as to not confuse the populace with why this DO can prescribe medicine (throughout most of europe DO's are chiropractors, in a very literal sense, as chiropractors have little visibility in europe and european DOs often have no prescription rights). Most DOs don't want to do that, even though its basically just a single additional test ontop of whatever the other hoops everyone jumps through is.