Should I double cleanse mineral sunscreen as well?

I've always been curious: how do you cleanse your sunscreen?

I usually go foundation-free and only wear tone-up sunscreen.

I wash my face first with cleansing water or a tissue and then do a second wash with cleansing foam, but I'm not sure if this is the right way to do it.

I've been feeling too lazy lately, so I'm thinking about just using cleansing foam. Is that okay?

I'm also wondering if I need to cleanse differently depending on whether it's an organic/inorganic product or a tone-up product!