No, because the TAG engine was funded by TAG and just happened to be built by Porsche. Porsche have been a car manufacturer and engine supplier in their own right to it's sensible to separate the two. Didn't Footwork have a dreadful Porsche built engine for a season?
Porsche 547/6 - a 1.5L F4 config ... used sparingly from 1958 - 1964
Porsche 753 - a 1.5L F4 config ... used in 1962
and the 3.5L V12 used by the Arrows in 1991 (aka Footwork Grand Prix International) ...