Hi Jean-Sebastien,
one more note about this:
For tools not supporting -vertial_epsg .... you can add this line to the .\lastools\bin\serf\geo\vertcs.csv file:
1127,CGVD2013 height,1127,Canadian Geodetic Vertical Datum of 2013,9001,1,0,6499,,
Best,
Jochen @rapidlasso