Whilst I recognise the document quoted I would suggest that at many larger (certainly UK) units the call is superfluous. This is because it will be a requirement to state your aircraft type either on first call with Delivery/Ground for departures and on first call with Director/Approach for arrivals. This then confirms the information represented on the Flight Progress Strip.
We're not just interested in whether you're a heavy or not but even small changes variations make differences in vortex arrival spacings and feasibility of ground movements (eg. in my experience down to the series of 737 involved).