I use mine on its own on light-carry days. Since it's a Dark Pink color, it works really well as an accessory too. Or if needed, I always carry a second bag when I need to haul more stuff.
But I don't use it inside a bag. And lambskin would certainly be scratched up pretty badly inside a large tote with other items. Plus WOC is too expensive as a catch all inside a large tote. I'd use Louis Vuitton pouches for that purpose.
Anyway, which style/ color are you considering? Do check it out at your local store and put all your essentials in, to see how things fit.