It very well might be, but not on a regular basis, for one or two reasons:
One: Most of the people who are coming into the Byzantine Catholic Church are not of Slavonic origin, but are Roman Catholics looking for something more than Novus Ordo. Not that I don't like Novus Ordo I'm just not thrilled with it. These visitors will be off balance as it is with the Liturgy. Most people tell me that they couldn't take it all in in one visit! The last thing we need is them coming and wondering if we're speaking Martian. Because that's what it would sound like. Don't get me wrong, I'd like to learn more about the language, but it just doesn't help "newbies".
Two: Using the Slavonic language in an English speaking enviroment is about as agaisnt the roots of the Rusyn church as it can get. The reason that I say this is because Cyril and Methodius wanted people to worship in their own language, and not have everyone chant in Greek or Latin, Arabic, ect, but in their own language. Not someone elses. Two more bits in.