Well, in my own researches I stumbled frequently across the term "Squadron" referring to Infantry!
I believe the named sources termed them in Error as Cavalry.
If you like to take a look on the link to a OOB of the Allies in Flanders 1702.
http://www.digam.net/tmp/digam_3569_1.jpg.pdf
Opening the pdf and increasing its size to at least +190% you will find right in the center - a yellow square - named St.Paul as part of a Brigade of Troops on Foot.
You also find the names of the Generals in Command written between the Battle Lines: Major Generals.... St.Paul.Oxenstirna...?
They have to be Foot as on the left Flank of the first and secong Line stood Schulenburg with two Regiments of Horse (one of them is termed as "Dragons du Roy").
Günter