Most properties handle premium correctly, automatically omitting it from the bill. The fact that this system charged a fee for upgrade from base, but not a fee for internet overall, means that the system is set to give plat only base internet for free.
Further, the odd method they suggested, giving me a sticker with a conference code to enter, when other guest enter their name and room, suggests to me that this skips any mention of higher speed options. Leave the platinum in the dark and they won't complain.
I understand your 'benefit of the doubt' attitude, but this works so well in almost every property worldwide (at least for all my stays), that the behavior of a property in Mumbai and this hotel stand in stark contrast.