The issue is that government policy is that they should be funded by the private sector (and that the UK is no longer able to build a nuclear power station by itself).
No-one in the private sector can do that, as we've seen.
For Hinkley C, EDF could not (and the French government did not want to finance). For another power station Toshiba recently gave up and took a serious financial hit because it was just too much [0].
The only ones willing to throw money at this to build those nuclear plants are the Chinese, which EDF already called in to partly finance Hinkley C, but then everyone goes ballistic about "handing over our electricity supply to the Chinese Communist Party".
Considering that the UK developed and built the first civilian nuclear plant this is (yet another) monumental lack of strategic vision and huge waste.
[0] https://www.theguardian.com/environment/2018/nov/08/toshiba-...