But even these experiments where like giant resistors. When the liquid sodium washing machine was running it was heating like crazy from resistive (Ohmic) dissipation, and they had to let it cool for many hours after each run. So, again, not like the Sun.
On the numerical front, there was a problem. If you want to make things more turbulent and less resistive, you need to increase the resolution. But this is not a very nice system. To just double your turbulence or divide your resistivity by two, you need to roughly spend ~16 times more computing time. And (in adequate nondimensional formulation) if the resistivity of the Sun was 1, the resistivity of the lab experiments was something like 100000, and that in numerical simulations with their resolution 10000. I'll let you do the maths, but essentially, you can't replicate the Sun in a computer.