I have heard of this being done with rye before. Something about vikings and sheep and planting the rye at midsummer.
I do know that winter grains tend to die when there is too much top growth when it goes into dormancy, snow mold consumes the leaves on top and may get to the growing point. mowing is recommended if you have a warm fall in a bunch of publications I've read
I've also read that if you mow/graze the plants before they start tillering that they will tend to produce significantly more tillers, they will be about 2-3 weeks later than non-grazed
I'd say that you could definitely get an early cutting of
hay off of it and
maybe a second cutting in the fall