It would depend upon the T-Stat. I used to have Trane units, and they had Beam (ZNB) functionality to wake my door lock (I had one right next to the Kwikset).
That said, the Z-Wave lock interaction, and Z-Wave in general, got a lot better after I did the antenna hack on Vera, since it had the range to contact everything directly. I tried it using an Aeon ZWave S2, and it never had enough range to contact the lock (and hopping the Z-Wave mesh was always a little flakey, even with a dense network)
If you know someone that has the particular T-Stat you’re looking at, and they’re on Vera, you can have them check using information that Vera keeps in the Devices attributes.