If you see a circular shadow on a wall, you might deduce that the object casting the shadow was a ball, but if the object casts another shadow on the floor, and that shadow is a triangle, you might deduce that the object was a cone.
Likdwise, Quantum physics and Relativity are merely shadows of something else which we cannot see. And to make matters worse, the shadows are imprefect, and can be cast in more than our normal number of dimensions.
Modern science, and indeed the human mind, produce models which we use to explain particular observed physical realities. The models are not reality themselves, but imperfect reflections, each distorted in its own sly way.
Some aspect of the thing we perceive as time exists, or most of our reality wouldn't exist, but we lack a perfect foundation from which to deduce absolute conditions and to make absolute assumptions. Because of this, I would say that concluding that time does not exist based on particular components of the models used, is stretching deduction a bit too far.
We have been trying to unify our models for years, but have yet to unify QED with Relativity. This implies that either one, or both models are incorrect to some degree. Both are very accurate to a point, but beyond that point, they begin to break down. I'm betting that both models are wrong in some way, and that we're missing something. Something big. Possibly a lot of big somethings...