The IT industry discourages users from considering these distinctions. That’s what the buzzword “cloud computing” is for. This term is so nebulous that it could refer to almost any use of the Internet. It includes SaaS and it includes nearly everything else. The term only lends itself to uselessly broad statements.
The real meaning of “cloud computing” is to suggest a devil-may-care approach towards your computing. It says, “Don’t ask questions, just trust every business without hesitation. Don’t worry about who controls your computing or who holds your data. Don’t check for a hook hidden inside our service before you swallow it.” In other words, “Think like a sucker.” I prefer to avoid the term.