Baseload as an abstract concept still makes perfect sense.
It is exactly equivalent to a flat reduction in demand. Which is something that would be worth paying for.
How much it is worth is the big question. I'd suggest it is worth less than the costs of burning coal or gas as baseload and that therefore those should be used only when necessary and be on standby the rest of the time.
I'd also suggest building new nuclear makes little sense as there's little chance of it being economically worthwhile.
But, current nuclear that's not got other problems isn't any big drama to integrate with increasing renewables. And I don't think we're quite at the point yet where new build renewables are cheaper than nuclear running costs. If anything it just gets you faster to the point where you have a daily bump of excess solar that can be matched with batteries (grid support or in vehicles).
Final shout-out for east-west orientated static solar, which can be used to make the solar curve a bit more of a square wave. They produce less but at times of day when it'll be worth more, once the standard peak is saturated.