The Lagrange points are only stable as long as the object in them is much, much smaller than the planet is. Once it becomes large enough to be exerting gravitational influence of its own the Lagrange points become unstable and it drifts out.
I don't think it's widely accepted as plausible any more, but I recall reading a theory that Theia (the planetoid that impacted Earth very early in the solar system's formation to cause the formation of the Moon) formed in one of the L4/L5 points in exactly the manner you're proposing but then collided with Earth once it got too big to remain stable there. IIRC more recent simulations suggest Theia had to hit at a higher velocity than this scenario was capable of producing, so that's why it's been deprecated, but the formation-then-instability bit is still valid.
Sitting here in Canada, watching Trump randomly threaten tariffs every other day whenever it strikes his fancy to demand some new concession from us despite decades of free trade agreements and frameworks in place to supposedly prevent this, thinking this isn't actually an Iran problem.