Well, Vlach World always interacted with Slav World even without Orthodoxy.
Dragomir, Radomir, Dobromir, Tatomir, Tihomir are indeed Slavic names but none of them is included in "Calendar of the saints" by which the names were usually given, so I think it's more a cultural, than religious influence.
For example, an Orthodox Christian who is baptized today, should normally choose from this list:
https://i.postimg.cc/gkLXLbS1/image.png
So, Diomide, Xerimon, Constantin, Alexander, Anna, Iacov.
Now it's not so strict, so if the person choose the name which belongs to the holiday of another day's saint, he will celebrate it on the closest day next to his birthday. I'm born 18.11, day of my saint is 24.11, the saint martyr Victor of Damascus.