No, it's not untrue. If you optimize a CO2-free grid for minimum cost, you will find that the solutions don't usually involve both renewables (particularly wind) and nuclear. Either nuclear is so expensive it goes to zero, or its so cheap it dominates. There's little synergy between renewables and nuclear.
This also happens in unplanned grids where market forces are being allowed to operate. Renewables, if they are cheaper per kWh than nuclear, drive down the price sufficiently often that nuclear struggles (and with production subsidies, they can drive prices negative, but never mind that). Today, even existing nuclear plants are struggling to make an operating profit in the US.
> And in general, renewables do need a flexible supplement. So what would you suggest?
For the moment, this would be natural gas. If you object to the CO2 from this, consider that to compete against NG CC for BASELOAD in the US, new nuclear would need a CO2 tax of $300/ton or more (see below for quote and link). For new nuclear to compete against NG to cover renewable intermittency, the CO2 tax would have to be much higher, perhaps $1000/ton or more, depending on the fraction of time the NG generators are needed. This is a ludicrously high CO2 tax, and shows how far out of contention new nuclear plants would be.
In the future, this last resort generation could be replaced with something like hydrogen (either produced from NG by SMR with CO2 capture, or from renewable energy by electrolysis.) And it would still be cheaper than new nuclear.
> Gas is extremely expensive to run,
No. Quote from Physics Today (Crane was the president of Exelon):
https://physicstoday.scitation.org/doi/10.1063/PT.3.4088
“The cost of new nuclear is prohibitive for us to be investing in,” says Crane. Exelon considered building two new reactors in Texas in 2005, he says, when gas prices were $8/MMBtu and were projected to rise to $13/MMBtu. At that price, the project would have been viable with a CO2 tax of $25 per ton. “We’re sitting here trading 2019 gas at $2.90 per MMBtu,” he says; for new nuclear power to be competitive at that price, a CO2 tax “would be $300–$400.” Exelon currently is placing its bets instead on advances in energy storage and carbon sequestration technologies.
(Since then, Exelon has announced they want to spin off all their nuclear generating assets.)
> More pumped hydro is impossible to build due to environmental regs, NIMBY and geography.
More pumped hydro ON EXISTING RIVERS is geographically constrained, but off-river PHES much less so. It has vast potential in most parts of the world, especially when coupled with long distance transmission.