Nope, not true. To give you an idea, there are some schools that have no inpatient IM training, for example. How can you be a doctor with no inpatient training? You seem to think that if you pass the board after your 2nd year, you automatically become a doctor. Clinical training in your 3rd and 4th year is the backbone of medical education, so considering that, it's definitely not "the same education" that you receive quality wise. Some schools' rotations sites are complete joke, and it's nothing more than expensive shadowing. Also, it comes down to having open residency options. Many DO schools lack residency programs in competitive fields like surgery, ortho, EM, and so on. This means limited opportunities and increased difficulty in obtaining certain residency spots especially as an osteopathic medical student.
Instead of ambiguously making broad statements like "you can't go wrong with any medical school," you really should try to paint the entire picture. Yeah, you'll probably still become a doctor if you go to a US medical school, but the point is to become a good doctor for your community's sake. Not all schools are capable of guiding their students toward that path.