Yes, take Servage for example, say you wanted to use all that GB in one day rather then a month. They'll first suspend your account, then ask you to remove it from their servers.
Quote:
Originally Posted by Terms of Service
Customers are able to use 70 Gb daily totaling 2100 Gb in a normal 30 day month. A 28 day month provides 1960 Gb transfer and a 31 day month will allow a total of 2170 Gb transfer. Sites that consume over our daily limit on a regular basis period will be disabled and client must look into another Web hosting provider to accommodate those high bandwidth needs
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Granted its pretty hard to use 70GB in a day, let alone the 2100GB. But i know if i was paying for something and was limited in using it, I dont think i'd enjoy it to much. With a dedicated server you could dish out as much as you wanted in most scenarios