You might be justified in using a TAA (like the cirrus) as a PPL trainer, but probably only under these circumstances:
-Your goal is private pilot, not professional pilot.
-Your time is limited, your finances less so.
-You intend to own/lease a cirrus as your personal flying machine.
If you plan on operating a cirrus anyway, the more time you have in the thing, the better for safety and insurance. You'll have the advantage of having conducted plenty of manuevers in a cirrus, so your comfort zone will be larger. Instrument training will be easier since you will be very familiar with the avionics.
If you plan on being a professional pilot or a renter, you probably want to learn on analog gauges since you may be seeing a lot of those. The transition from analog to glass is easier than vice versa (assuming slow GA airplanes).