As someone in training, it probably won't matter who is managing the primary critical care team while you're rotating. I mean, obviously you'll get different perspectives from the surgical vs. anesthesia trained intensivists but it's not as though your education is going to suffer because you are under the auspices of a surgeon.
Of more concern is the value placed on resident education in the rotation. You can debate all day who is most well-suited to be directing any given ICU but if there's no teaching, what's the difference?