There are some processes where equipment lifetime is more determined by total usage than by start-stop cycles. Those processes can more or less seamlessly transition to intermittent renewables
as long as the time value of money isn't very high. Given persistently low inflation rates despite years of QE, I think we might be there already. EDIT: actually, even if the
processes are tolerant of frequent stop-start, the associated
labor scheduling may not be. Not knowing when you'll have a shift scheduled sucks for workers. Not knowing if your regularly-scheduled workers will have favorable weather to do useful work when they show up at the plant would suck for employers.
Other processes are intolerant of complete shutdown/startup cycles. Modern aluminum smelting is one of them. If everything freezes up in the production cells because of too little power for too long, it causes damage and it takes a long time to start up again. To make aluminum smelting more cycling-tolerant would require rethinking the whole plant design. Even then the cost savings from cheap but non-dispatchable renewables may not be enough to compete with existing plants powered with dispatchable electricity.