So, I did a simple patent search and there are no active Whizzer Patents. Previous patents included the Pacemaker springer fork, the case mounted AC power generator, the Loop frame (i think that is what I saw), the actual dive system of the pulleys; small to large, the rear "coaster brake" which looks like the large 5 inch brake on some bikes and a couple of other things.
As far as trademarks go, The Goldman's do have the Whizzer logo but only for goods"Shirts, hats, caps and hoodies". The Whizzer winged wheel logo for goods "motorbike" has been "Abandoned" as of 2021 for lack of extension or use apparently. Note that they do have the NAME "WHIZZER" (not the stylized logo, just the title with no specific font or style) for goods; Motorbikes. So you can put the logo on anything other than shirts, caps hats or hoodies apparently, but not the "name" whizzer on a motorbike.