This is why I said the way we measure time relative.
When people think time is real, they are thinking of Newtonian time, absolute time. In general, our sense of objective reality, is the idea that there are absolute things, usually quantifiable, that repetitive observation/experiment can agree on the value of (at a given point in space and time per relativity). What distinguishes Einstein from Newton, is that parenthetical ... for Newton, objectivity is the same at all points in space and at all times. That simply isn't true in actual observation and experiment, though it is almost so in most circumstances. Indirectly, because the observer is choosing the point in space and moment in time to make the measurement, the observer is interacting with reality in a non-objective way ... and in QM, the observer yet again is an unavoidable interference in our Newtonian sense of objectivity.
So if we mean by real, that which is real in spite of people ... then there is no such reality in human experience, because it is a self contradiction.