Yes, it happens, and you’re actually in the middle of it from the sounds of things. The role reversal you’re talking about is real - when the chaser finally steps back, the energy shifts.
Runners crave the connection, too; they’re just scared of how intense it all feels. So when you stopped texting him and pulled your energy back, he would have felt that shift on some level, whether he’s conscious of it or not. The runner might feel relief when the chasing stops, but then quickly realizes they can’t stop thinking about their twin; they miss the attention and energy.
This is not be calling runners drama queens. They’re not trying to play games, the runner struggles with this too, which is why the roles switch, I think. I would read this thread:
Some people can switch multiple times throughout the connection - it’s not always a one-time thing. And the runner becoming the chaser often signals both people are moving closer to balance. Doesn’t mean he’ll text tomorrow, there’s no timeline for this stuff. But you stopping the chase could be exactly what triggers something in him.