Autogyro's don't fly like a helicopter... they don't hover.
Yeah they also don't take off like a helicopter. They need a runway. I find them to be a silly vehicle. All the drawbacks of a plane and helicopter with few of the advantages (needs runway, can't hover, etc). One advantage they seem to have IRL is they are cheaper to operate but since that isn't actually a factor in SR it is irrelevant. Why they made the Wasp an Autogyro when its big brother the Yellowjacket is a helicopter and in past editions they are both helicopters, I don't know. Seems a weird change to make.
A number of designs exist under the "autogyro" umbrella. There were huge ones and tiny ones. Ones with a rotor that just sits there until you start going down a runway, and ones where you can divert power to the rotor in order to take off vertically, though when going forward they rely on autogyration.
In Rigger3 they imagined them as the little hobby pilot ones with a powered rotor. So you can't make 'em big, and they seriously limit the weight you can lift, but they have a straight up VTOL profile by default. So while I think the models in real life aren't good hoverers (I think they build up inertia in the rotor to allow a vertical take off), for simplicity and a bit of credit for the future I let my players just use them as a VTOL per RAW.
If they changed autogyros to a VSTOL profile in 4th I guess I didn't notice and just injected what I remembered from Rigger3. Their stats do make them seem "bigger" in 4th.