As far as I have experienced, all Gospel readings are sung by the priest at Ordinariate churches at a Sung or High Mass and if one of the vested readers feel comfortable singing, they sing the other readings.
Although it appears that there are a few former Anglican parishes that were more evangelical who have joined the Ordinariate and I don’t know if they follow the same. I have never seen a woman reader, nor cantor etc. in the sanctuary, nor anyone in the sanctuary not vested.
This was also typical in the Anglo Catholic parishes I belonged to. It has been many years and I am not sure if the liturgy has changed.
If someone loves singing traditional hymns, Anglican Use or Ordinariate parishes are the place to be, as it is a large part of the Anglican Patrimony.
Yours in the Hearts of Jesus and Mary
Bernadette