Coyotes will eat deer all year long, sometimes they're just smaller than other times of year. Most open reeds that will do a decent fawn distress will do a reasonable "juvenile deer" bawl too, just slide a little deeper on the reed.
Coyotes are instinctual - despite what Chuck Jones might have lead Wile E. to believe about himself - they're not geniuses. There's no logical processing center in the canine brain, they don't have the capacity for reason - if something sounds like a meal and doesn't sound like a threat at a time when the coyote is hungry (virtually always), they'll come check it out.
I've called hundreds of coyotes with Jackrabbit calls over the years in areas that don't have jackrabbits. I've called with fawn distress in February, called with coyote pup distress calls in October... If it sounds like a meal, and doesn't relate to a threat, they'll come check it out...