To address the baseload question. Baseload for a period is the level below which demand doesn't drop. Baseload isn't a relevant figure if you're running a power network. The job of a grid operator is to make sure supply matches demand from second to second. What happens is that the grid operator uses the cheapest marginal electricity first, which is always renewables, then if there's still a gap it's filled with power from a gas power station. That gap is continuously varying, and gas power is needed because it can continuously vary in response. The point is that baseload isn't a relevant concept in balancing the grid, it's all about matching supply with demand.
Ok but we need a grid without natural gas if we're going to fix climate change. Baseload is a relevant figure if we're designing that new grid. Grid-scale multi-day battery storage is expensive, and possibly even infeasible, so we might be best off using nuclear for baseload, with renewables and battery balancing on top of that.
To take the USA for example, it'll play out like this. As more and more renewables are built there will be periods where the amount of renewable electricity will exceed demand. During these periods, electricity will be very cheap and will be used to create hydrogen. The existing natural gas storage and pipework will be used for hydrogen instead, and hydrogen turbines / fuel cells will be built. So the natural gas infrastructure will be taken over by hydrogen, generated from renewable electricity. This gradual takeover will extend to heating. Natural gas boilers in homes / buildings will be converted to hydrogen, and so in the end the USA will end up with zero carbon emissions for electricity and heating.
Sounds good, but has anyone done this in production anywhere, and if so, what did it cost?
Hydrogen has a habit of leaking through anything and embrittling metals, so it may not be a trivial task. According to the Dept. of Energy, converting pipelines to carry pure hydrogen will require "substantial modification."