All known Cenozoic birds share a number of unique weirdnesses, for
example -- off the top of my head! -- 15-upwards sacral vertebrae, a bony
bridge over a tendon at the foot end of the shinbone, a complete lack of
teeth (that's not unique, but it's unique compared to the close relative
*Ichthyornis*), and probably dozens of others that must be hidden in huge
studies like the recent one by Livezey & Zusi.
What I'm saying is that if a number of lines of dinosaurs were structured
exactly like birds and were fully flighted, this supports the idea that
modern birds may not all be of one lineage.
But...
- wouldn't that amount of convergence be a bit improbable?