I have been looking at a few hotel aggregators (hotels.com, trivago.com & hostelworld.com) & have noticed that many of them have separate options for "Free Wifi" & "Free internet access". I thought that free internet access would've been an internet access, including Wifi, Ethernet & a computer in the lobby, but I have seen that many hotels are shown as having Wifi, but no internet access.
One possible answer is that internet access means that it doesn't require you to bring your own computer (they have a computer for you to use), or that in many places, non-Wifi internet access is seen as so old-fashioned that hotels don't even bother to tick the tickbox next to that listing.
Free internet accessusually means, they have one or multiple PCs connected to the internet to be used by guests. This used to be very common, but now many places don't have PCs anymore.