Yeah, but sometimes the intermittency is pretty extreme, and you can get away with significantly less overpaneling and storage if you have a mix of power sources. Not many experts advocate for 100% renewables.
Right; batteries aren't really suitable for the low frequency part of the supply/demand mismatch. Daily storage, great, perhaps up to 1 week, but lower frequencies they are increasingly expensive.
But there are other storage ideas that do much better for that. For example, burning an e-fuel like hydrogen, or ultra low capex thermal storage.