Yes and no. DMR and NXDN also have that feature (or whatever their name for it is). As far as I can remember, DSD+ has always decoded the talker alias for them for at least the last three years. DSD+ has also supported decoding Harris P25 talker aliases for as long as I know. In the past six months or so, DSD+ added support for Motorola P25 talker aliases. And other software eventually followed.
The way that talker aliases are transmitted over the air "internally " varies from manufacturer to manufacturer. For example, Harris OTAs are transmitted differently than Motorola Talker aliases. Yes, P25 is just a standard, but each manufacturer operates differently.
A few updates ago, it was easy to differentiate a Hariss transmitted OTA vs a Moto OTA transmitted in DSD+. I had not updated the recent version until today, when I was monitoring the system with OTAs; All of them looked like Harris Transmitted OTAs.