I don't have a problem with the SD3 source in terms of eligibility. There's a distinct sound to it; it's short and repetitive but it's recognizably unique.
My issue is not with the source tune but with the extremely liberal take on that source tune. For shorter "jingles" like these, there's less material to work with, so straying from that material is way easier to do.
I think we should continue to handle these things on a case-by-case basis. In this case, the source tune is fine; the remix is not.