Yes, many big PV plants in Spain
I haven't seen numbers for the distribution in Spain, but in Germany, the overwhelming majority of PV intsallations is rooftop, not free-field.
SP has the advantage that with molten salt and buffers you could/can actually produce 24/7...
That's indeed a big advantage. But, CSP is more limited geographically, and it remains to be seen whether and when it can be rolled out big-time (with multi-GW installations annually). *Lunatic*, n. One whose delusions are out of fashion.