No, the point of psionics "from the start" (1976's Supplement III: Eldritch Wizardry) was to be a handful of odd powers held by characters with otherwise-normal classes, plus a psionic combat system.
If your proposed psionics system doesn't have psionic combat, and it does have psionic classes or subclasses, you've entirely abandoned what psionics was "from the start" in favor of doing something radically different.
Which is fine, but don't pretend you're channeling the true nature of D&D psionics, rather than saying, "I feel psionics should be X, not Y".