Not Hating, Just trying to Understand TPS

Before I start, I've invested a decent amount of my savings into bitcoin, I do believe in it and have tried to understand it.

But with that being said, how do you guys actually think this is going to replace traditional currency with a TPS limit of just 7(and that's on the high end). Unless third party brokers intervene and handle transactions(which would essentially become another version of the current financial system), I simply don't understand how this could ever replace cash.

Again, I'm not hating, just trying to understand with an open mind