Unclear. L2 is an unstable Lagrange point, so the robots wouldn't just stay put. But that doesn't mean they would leave, either, necessarily. They could end up

Unclear. L2 is an unstable Lagrange point, so the robots wouldn't just stay put. But that doesn't mean they would leave, either, necessarily. They could end up in funky Lissajous orbits and go flying through L2 regularly. The orbital mechanics around Lagrange points are weird.