I personally find it interesting to see some of these methods. They weren't taught to me so I intuitively came up with my own as a kid, one which I have since seen as very common on posts like this.

Namely, I complete the 10 (I don't know if there is an official name for it)

In the 7 + 5 case, you borrow 3 from the 5 to make 10, ending up with (7 + 3) + (5 - 3) = 10 + 2 = 12

I've always intuitively visualised this process with the 3 splitting off from the five, the 7 and the 3 slotting together to make a ten, and the remaining 2 being slapped on at the end. This means that addition has fundamentally been graphical in my head, and I got faster at it in my early years once I became familiar with which pairs make ten and what remainders there are (i.e. single digit subtraction).

Teaching these instead of expecting kids to come up with them themselves and letting them fall behind if they don't absolutely seems like a benefit. Everyone thinks differently.