I am seeing this behavior ever since updating to the 2020.05 update (build 039 64-bit), it always worked before this update
1. Open project file with track automation as seen here:
2. Collapse track automation so it all appears on one track:
3. Select entire region with MIDI and track automation and select EDIT > COPY SPECIAL and choose:
4. Go to your new project, insert softsynth and choose EDIT > PASTE SPECIAL: (I tried with the "Pa