> You cannot decay if you don’t experience time

That's a common misconception, there's no a priori reason a particle without a restframe can't decay. For all known particles with a finite lifetime we give this lifetime as measured in its restframe (i.e. with the particle standing still), but in principle it is an observer-dependent quantity, faster moving particles will take longer to decay. If we, for example, assume the lifetime of a massless particle is proportional to its energy, we retain the same expected Lorentz covariance.

Of course, if you actually go through the math, the known massless particles in our universe, photons and gluons, turn out to be stable.[1]

1: https://arxiv.org/abs/hep-th/9508018