Dear Yael,
No, you should not use HDR-VDP as a quality metric for tone-mapping as HDR-VDP is a fidelity metric.
The code of HDR-VDP-3 includes an experimental code of "civdm", which is based on our old paper:
Aydin, T. O., Mantiuk, R., Myszkowski, K., & Seidel, H.-P. (2008). Dynamic range independent image quality assessment. ACM Transactions on Graphics (Proc. of SIGGRAPH), 27(3), 69.
https://doi.org/10.1145/1360612.1360668
but contains a few improvements. The issue here is that we have not provided a pooling function that could transform distortion maps into a single-valued quality score. The mean value of those maps could be indicative of the quality of tone-mapping, but we have no data to support it.
Best,
Rafal