This really doesn't have much of any effect on anybody–as you noticed yourself. It's for use in ALL CAPS, which is mostly done in software these days (i. e. headlines formatted with CSS), so you actually don't have to type it.
It in fact simplifies lots of things, because the ß->SS capitalisation screws up all sorts of algorithms: It's unusual to replace a single lower caps letter with two capital letters. It's also not reversible, so you actually need a dictionary to do 'AUSSENTHEMPERATUR'.lowercase.
As a developer the ß->SS transformation has been one of my pet peeves about digital German. Uppercase meant destroying data. It's awkward. The ẞ glyph fixes that.
It in fact simplifies lots of things, because the ß->SS capitalisation screws up all sorts of algorithms: It's unusual to replace a single lower caps letter with two capital letters. It's also not reversible, so you actually need a dictionary to do 'AUSSENTHEMPERATUR'.lowercase.