Sorry, I've never grown that type. But that's the very reason I gave up on poppies altogether. They're beautiful but for such a short time, then they bolt as soon as summer heat arrives. They'd be butt ugly, frying, and then leave gaping holes in the garden after I yanked them. And by then it was too late and hot to establish a replacement plant.
But yes, most poppies do have long tap roots.
Karen