Invited presentations, where you're only formally invited, became quite usual these days. Being invited then merely means that you get more time to present your stuff. Sometimes the conference fee is waived when you ask for it. Often the organizers rely on the registration fees to break even.
Independent of paying the fee or not, it is usual to ask invited speakers for an abstract. As an organizer, you want something for the booklet (or USB stick nowadays). The submission deadline is treated more loose since an invited speaker does not need to be rated by the program committee. Though of course there is the deadline for the printed version of the booklet (which not all invited speakers manage to meet - or violate on purpose).
Such presentations are considered as invited talks without doubt.
I'm not talking about the spam conferences, as mentioned by @captainemacs, although these of course also exist. Though personally I don't know anybody, who ever attended one.