Nope - the City's count for regulatory purposes would be the actual number of storeys
(i.e. there's no City policy as to how you exclude floors in numbering them, so you can't base an administrative report on unpredictable methodology)
EDIT - yes, the number of storeys shown on the elevation plan attached to the end of that bylaw amendment yields 63 storeys - which is weird. The background section also refers to Shangri-La as 57 storeys.
FYI - here's the CD-1 bylaw for Shangri-La - maximum height of uppermost habitable floor is 191.7m, and to top of mechanical is 196.9m (although the fins look taller than 5.2 m)
http://former.vancouver.ca/commsvcs/bylaws/cd-1/ByCD-1Number/cd1s/iCD-1(426).pdf
So overall, Trump will be 9.14 m (29.7 ft) shorter than Shangri-La.
Also, the top of Trump's mechanical will be at 187.67 m, while the top slab of Shangri-La is at 191.7 m
- so Trump's highest point will be 3.94 m (12.8 ft) shorter than Shangri-La's top of slab (roof, meaning base of the fins).
- see my pic above (or one of Klazu's pics) to guesstimate what it'll look like.