A benefit of stronger magnets is that you can make it a lot smaller, and presumably cheaper -- which is what MIT has been working on with SPARC.
I don't know if it's practical to upgrade the magnets on ITER, but I'd expect it to be really expensive -- especially if they've already manufactured/installed the old magnets.
In the high Tc high field designs, the mass of the metal supports for the magnets dominates the reactor mass.
Why does JxB scale quadratically? Because a stronger field can contain (linearly) more current?
But the JxB force is now quadrupled, because you doubled both J and B.
ITER is not a prototype of a commercial fusion reactor, it's a burning plasma laboratory. Its main goal is to study the plasma confinement technology.
Newer designs will have a much thinner central column and stronger magnets, resulting in much better confinement. And high-temperature superconductors will an order of magnitude cheaper.
Right now, ITER is still needed to get information on plasma properties at the temperatures required for fusion.