No. Adding Dante Virtual Soundcard (DVS) to your network does not change the latency of other Dante devices or the playout to them.
Dante does not need one latency value for the whole network. Each device has its own latency setting. DVS usually runs at a higher latency than Dante hardware devices, but this only applies to audio DVS receives.
For example, the rest of your network can run at 1 ms for live audio, while DVS is set to a higher value for recording.
For more information, see Dante Latency in the Dante Virtual Soundcard user guide.