Here's a nice example of what this meant in practice, beyond what you might already know about corporatism and the actual political structure of the regime:Portuguese Integralism was very similar to Charles Maurras's ideas, who was an arch-conservative ultranationalist royalist but was scornful of Nazism and Italian fascism. Not the return of feudalism itself, but a romanticized ideal of it.
Salazar made the use of academic honorifics mandatory. Any man would be entitled to be called Senhor/Mister (Sr.) out of convention, but you couldn't just call anyone that. Nono. A Doctor's name, for instance, would always be preceded by Doutor, more specifically Senhor Doutor (Sr. Dr.), shortened phonetically to "sotôr". An engineer would always be called Senhor Engenheiro "sôr engenheiro", and a government Minister would always be called Senhor Ministro "sôr ministro".
Radio broadcasts from the era are especially memeable because of how they refer to Salazar almost exclusively as "Sr. Presidente do Conselho Doutor António de Oliveira Salazar", i.e. "Mister President of the Council Doctor António de Oliveira Salazar". It was a return to the feudal title, almost, but built around merit and personal accomplishment, not nobility. But even some styles bordering on the nobiliarchic made their way into the system, like calling members of one of several national orders bearing the grade of Commander or higher using the style Senhor Comendador.