Yes it should do that as well as time signatures.
So the DAW tempo will send to the Plugin and the audio playback rate will be changed on the fly to match the DAW current tempo so even if it's 120.578bpm it will adjust the audio or midi playback according.
You can write the source RT tempo to the wav file if you want to render and it will fit the DAW track or you can drag a midi tempo map from the DAW into the Plugin and it will read the tempo map and time signatures.