They have so far never come to us without some knowledge of ECCs. These are first year students, and are excited to discover I’m Eastern Catholic and eager to learn more.

They haven’t been in seminary long when they come to us, tho some come from also having been in minor seminary, so they have been introduced to Eastern Catholics quite possibly before even getting to seminary.
Two weeks ago a Catechumen raised a question about Eastern Catholics and one of the seminarians fielded it well.

I, the only Eastern Catholic in the room, didn’t feel the need to add a thing to what he said.
They’ve had Divine Liturgy celebrated early in the semester at the seminary by the local Byzantine/Ruthenian priest. The professor of systematic theology there has been coming several times a year to Divine Liturgy at my parish for years and I’m sure would come more often if his circumstances and ours were different.
Connected with the local Dominicans in training, who are not trained at that Seminary but in their our formation in the Western Provence, Fr Augustine Thompson, OP, professor at DSPT used to concelebrate the DL in the Melkite tradition when it was weekly celebrated at the St. Albert’s Priory in Oakland. Adjunct Faculty Fr. Brendan McAnerney, OP, is the Pastor of St. George Melkite-Greek Catholic Church in Sacramento. Fr. Christopher Fadok, OP (canonically UGCC), a graduate of DSPT is parochial vicar at Blessed Sacrament Parish in Seatlle. Abbot Nicholas, HRM, is a former Dominican.
At the recent Exaltation of the Holy Cross, old calendar, 6 Dominican novices (only five weeks into their novitiate) and their novice master and probably as many Dominican Sisters were at the Festal Vigil at Holy Virgin Cathedral (ROCOR) at the invitation of Bishop Kyrill, and stayed a couple more hours after our deacon and I left at the end of the Vespers service. (They haven’t been invited to our parish by our priest yet which I’m told is the reason they haven’t yet visited us.)
These are just some regional examples, although as I say the seminarians from this Diocesan Seminary include men returning to Diocese far and wide. The Dominican Western Province also covers a number of states so those novices will one day be sent out, as was Fr Christopher sent to Seattle, to parishes all over at least the Western Province.