Q: Since time slows relative to the speed of light, does this mean that photons are essentially not moving through time at all?
A: yes. Precisely. Which means ----- are you seated?
Photons have no ticking time at all, which means, as far as they are concerned, they are absorbed the instant they are emitted, even if the distance traveled is across the universe itself.
Yes. Or another way of looking at it, from a photon's perspective the Universe has no size at all! I love that.