Possibly not in their early years......
"Esto daba a entender que el gobierno deseaba monopolizar la política de seguridad y hacerse presente a través de un contingente que a la vista cualquiera pudiera reconocer, pues además de estar montadas con “buenos caballos” y con “sillas del país”, su indumentaria quedaría compuesta de pantalón, chaqueta de cuero, y un sombrero que visiblemente mostrara la leyenda: “Seguridad pública”"This implied that the government wanted to monopolize the security policy and be present through a contingent that anyone could recognize in sight, because in addition to being mounted on "good horses" and with "country saddles", their clothing would fit composed of pants, leather jacket, and a hat that visibly displayed the legend: "Public Safety."
From the following thesis precis.
http://secuencia.mora.edu.mx/index.php/Secuencia/article/view/1814/2210I suspect the answer would possibly be found in Vanderwood's
Los Rurales Mexicanos if you can track down a copy.