The question "Can I develop a spell that turns hares, and only hares, into hawks" has implications well beyond Muto spells. Ultimately, it's a question about whether one can in general create a supernatural effect that's more selective than what the guidelines and examples suggest. For example, a CrCO spell that only heals women, or a PeVi spell that (within a certain Realm) harms Chthonic spirits but no others.
A blanket "no" feels very restrictive, and creates problems for magi who want to take advantage of a narrow focus in developing spells and other magics, as nullsettings suggests. At the same time, a blanket "yes" creates a cheap way to detect stuff that should be hard to detect: cast a very low-level "pink dot" spell at a target and check for the dot - vastly extending the problem that already exists with demon-detection-via-demon's-eternal-oblivion.
This saw significant debate within my troupe. The consensus is that the rough general answer is: "Yes, you can restrict the target of a spell, but only if it provides only Limited Extra Discrimination (LED) barring some Intellego requisite". We tried various definitions of what constitutes LED, but it's hard to pin down precisely in a way that both is consistent and prevents problems. "Any simple, immediately perceivable property of the target (something that someone with 1xp in the appropriate skill(s) could perceive, if capable of perceiving the target)" seems a good starting point for LED. So, yes, you can have a spell that turns a hare into a hawk; but probably not something that turns a gyrfalcon between 2 and 3 years old into a hare.
There are still several problems though. First, there is the occasional Focus that is sufficiently specialized to provide more than LED, under any reasonable definition of LED. Almost every astrological Focus has this problem in some situations, for example. In this case, we decided that the lesser evil was simply to NOT allow effects restricted to such a Focus. So yes, either your Focus is simple, or often you won't be able to benefit from the Focus in the lab.
Another very problematic issue is: what if the potential target is extremely well-disguised as another, normally easy-to-detect target type? Say, a woman disguised as a man? Again, if you allow the simplest "pink-dot" magic to pierce the disguise, you are (somewhat) unbalancing the game and devaluing Intellego. But should you allow effective disguise to shift the applicability of magic? Well, we decided that the lesser evil was indeed to allow a sufficiently well-disguised woman to be targeted by Corpus spells restricted to men (before you cry "Essential Nature!" please note that a man who's been MuCoed into a cat can be affected by Animal spells, as per the Bjornaer chapter of HoH:MC).
I have to stress that in neither case the choice we finally made is completely satisfactory (or, in fact, completely clear - there are borderline cases in which it's still hard to make a ruling). But from our point of view it's the best that we could come up with. I would be very happy to hear others' opinions on this.