I would suggest to not rely on the status shown on the website for arrival of your vehicle at the showroom. Mine was handed over to me about 10 days ago and still the website shows old dates.
I think that the update process is extremely slow and Honda does not care much about quick update of the status on website. Also, i believe that delivery of the vehicle by "Honda to showroom" has no prior association with the relationship number issued to the buyer. It is up to the showroom guys (and hence the menace of premium). I can tell you this based on my own experience.
If you do not have any link or reference in Honda or the showroom then it is best to call them periodically once the TDD is near. Also, make sure to deposit remaining amount 45 days before the TDD. Otherwise showroom will make an excuse and sell your car at a premium to others while make you wait further.
One more thing, these days delivery time has reduced to some extent due to restriction on non filers. As a result, orders got cancelled and filers are getting vehicles early. Mine got delivered 2 months earlier than the TDD. If your variant has shorter delivery time than the other City variants and its been 3 to 4 months since you booked then do call them more frequently.
