You’re correct. They’re not closely related other than by name.
Wikipedia says:
The American robin (Turdus migratorius) is a migratory bird of the true thrush genus and Turdidae, the wider thrush family. It is named after the European robin[3] because of its reddish-orange breast, though the two species are not closely related, with the European robin belonging to the Old World flycatcher family.
definitely a robin
Really? European robins look very different, the only similarity is the red breast (and even then, it’s only a superficial similarity)
Edit: I’m not trying to contradict you, just slightly surprised
You’re correct. They’re not closely related other than by name. Wikipedia says: