I think the problem with calling negative mass "just playing with math" is that it comes directly from the math whereas any attempts to challenge its existence come from inventing new maths derived from...ether, right? That is, the current most persistent mathematics of GR supports negative mass as an existing notion and most mathematics being developed to counter that existence are still working against the more proven models?
Anyways, as far as I know no one's actually performed any legit looking for it really have they? I mean, it's not like it would be something that you'd point Hubble at and go, "Gosh! There it is, the Negative Matter Dog Star!" And then, even if you were to observe it, doing something with engineering with it would be another thing entirely.