Even more technical, we don't have two phases, we have 1-phase that's split in half. I hate it cause it makes it confusing.

Two phase power is not the same as split phase (There's basically only weird older installations of 2 phase in use anymore).

Yeah that's right. The grid is three phases (as it is basically everywhere in the world), and the transformer at the pole splits one of those in half. Although, what are technically half-phases are usually just called "phases" when they're inside of a home.