Reaching current nighttime use with storage and wind and existing hydro looks infeasible, and we need a minimum of twice as much.
Power to gas (and back to power or to mix with natural gas for existing uses) is probably a part of this, but nuclear improves this (allowing there to be less of it and allowing the electrolysis cells to be used for a greater fraction of the day.
Its usage is technically accounted for in fossil fuel extraction numbers, but generally ignored when people are accounting for total electrical generation and the usage of fuels as heat sources.
I suspect you are quoting an EV-only number.
Canada needs between double and triple the electricity generation of today. Canada may not be the best example but there is a lot of uncertainty, especially around climate. it is not unreasonable to expect that places like Europe and India will increasingly add air conditioning, pushing the required grid capacity to double today's.
What are the caveats of your 30% figure?
https://natural-resources.canada.ca/energy-sources/powering-...
Even at the high end efficiency, this is enough that you can burn the gas centrally in a generator, lose 40-60% of it as heat as is standard with fossil electricity generation, lose a few percent more electricity in transmission and still come out ahead overall.
And of course, that's a lower bound as you'd ideally be generating electricity from other sources like solar and wind and battery and keeping the gas generators for when needed, making use of the giant scale gas storage most countries already have.
Where we're replacing fossil fuel heat with a heat pump we don't get that efficiency improvement from motors - burning fuel was 100% efficient per se, but the heat pump is > 100% efficient in those terms because it's not making heat just moving it.
Nuclear is much less popular than almost any generation technology, so you're fighting a significant political battle to make that happen.