Which Toyota filters? Be specific. I am only familiar with the Toyota filters for the 2.4L I4 used by RAV4s (90915-10004 or 90915-YZZF1). Fram may make one of these filters, but they are not like a Fram aftermarket filter. I think it is much more likely that Denso is making the Toyota filters I care about. Which Ford filters? I am very familiar with FL820S and FL1s. Their construction is nothing like the insides of the Fram aftermarket filter that fits the same applications. So while Fram may make filters for others, they aren't necessarily using the same techniques for the filters they sell in the aftermarket.
Not all companies make all filters for all application. I am sure that a lot of production swapping goes on. However, for high volume applications (like the FL820S) I believe most actual filter manufacturers make their own versions (Fram makes their PH2 / TG2, Wix makes their 51372, Purolator makes their PL24651, etc). I am also sure that many "brands" (like Motorcraft, ACDelco, Amsoil, Mobil, etc) market private label version of filters from other companies. I suppose some of them may use Fram from time to time, but at least as far as I know, if you buy a Motorcraft FL820S oil filter today, it is not coming from Fram and it is made to meet OEM specifications. Ditto for a Toyota 90915-1004. That may change in the future, but unless all the filter manufacturers drop down to Fram's aftermarket level of quality, I'll be able to find something better I can use.
Ed