Nuclear has been and is being invested in. Governments fund a huge amount of nuclear R&D and also often heavily subsidize plant construction. When utilities crunch the numbers to decide what to invest in building, they overwhelmingly don't choose nuclear. And yes, they are certainly taking into account intermittency, "base load" whatever you want to call it.

There are arguments to be made that decision-makers at utilities aren't taking into account certain factors, for example in deregulated markets like Texas where reliability has perhaps been under-rewarded by the market design. But I think one should be especially skeptical about arguments posted by laymen versus the experts who are actually putting their money where their mouth is.