Except it is not just a name: standard time is supposed to indicate that the sun is at its zenith at noon somewhere in a timezone. If we do not care about that, why not abolish all timezones while we are at it?
It is just a name. No one has cared about solar noon since the 19th century, when every town set their own clock. The point of timezones is for everyone to work from the same reference with respect to train schedules, originally, and now flights, phone calls, bank hours, etc.
And daylight time is that plus one hour. They're both standardized somehow or other, that's not the point. The error bars on that relationship with the noonday sun are large enough that neither daylight time nor standard time actually fit that definition anyway. Time zones cover an hour-wide area, and orbital mechanics of the Earth and Sun cause noon to drift a lot throughout the year.
Both are workable, but one is more familiar, and that's daylight time.
"Standard time" is just a name. Daylight time is actually more "standard" from the perspective of most Americans.