That would be trivial to break over a few requests, I think
The fact is very few websites use more than three fonts at a time on any particular page, and most sites than do could rework their design so they don't (swapping icon fonts for an SVG font map, for example), or they could implement a canvas or WebGL alternative.
SVGs are vectors so they aren't larger at larger sizes, and they can be responsive so you don't always have to display the same image at every size.
It depends how the question is framed and presented. If the permission prompt is modal and the user believes that they will be prevented from accessing the application unless they click Yes, then they will always click Yes.
But if the website loads first and then they are asked for permission to load some additional feature, they are much less likely to reflexively click Yes rather than to press X to close the non-modal.
I read that as Management (PHB) wanted that but some how the implementing engineer got them to do it the respectful way.