I did find a copy of the 1981 W-W catalog, and it also has no listings for a .38 Special +P load using a JSP bullet in any weight. Additionally, there are no codes in it beginning with Q, only those beginning with X.

It is possible that later W-W catalogs from the 1998 - 2002 period do show a +P load with a JSP bullet and a Q code. Unfortunately I have no such catalogs.

I have no evidence that the only jacketed bullets used by W-W for .38 Special +P ammunition were JHPs, but it is logical that the use of hollow-point bullets makes more sense if the avowed purpose of a +P load is to do maximum damage.