It is interesting just how many prints were made of 'Burger' Guards. In addition to the ones you have shared there are large series of Vienna Burger Guards by Muller and by Wolf both dated 1806 and a smaller set by Bollinger of very similarly dressed Munich Guards of 1809 and other oddments.
Clearly there was a considerable commercial potential here for publishers. What is less clear is what was the military value of these bodies, or if indeed they saw much or even any action? Not an exact parallel but I know that Napoleon swept some of the Gardes d' Honneur, the French ceremonial town guard entities, into newly formed Infanterie Legere and Chasseur a' Cheval Regiments in 1813/14 but do not know if similar Dutch units shared this experience? It would be good to hear if anyone could shed some light on either of these matters?