It may take a few tries but at some point, you may get some weird results (about 1/4 time for me). It may happen with other settings, but these work well for me.
It also reproduces, but only some percentage of the time & on some styles, with only the string "III" (no quotes).
It is described as "Realistic handwriting generator. Convert text to handwriting using an in-browser recurrent neural network", so, unlike GPT, it is not a transformer and it is small, so it most likely doesn't take the entire text input as once. Most likely, it simply overshoots the previous stroke and decides that a loop is the most appropriate way to continue, then it overshoots that loop, and again, and again, until by chance it stops overshooting and proceeds to the rest of the text. Cursive style like #2, the need for precise strokes (high legibility) and specific letter transitions seem to exacerbate the problem.