In this age of superhero and comic book movies...

I think a non CGI action flick would be received very well right now, exactly because people are sick of the "video game movie" phenomenon. How about Diego Luna (Rogue One) for Zorro?

Yes, I've seen that too but it really is different if the fencers learned at very young ages. Here's some IMDB trivia on The Mark of Zorro (1940):

-Basil Rathbone, being a well known fencer in his own right, was asked how well Tyrone Power did in their scenes in which stunt doubles were not used. Rathbone responded, "Tyrone Power could fence Errol Flynn into a cocked hat!"

-The famous duel was staged by Hollywood fencing master Fred Cavens. Cavens specialized in staging duels that relied more on actual swordplay rather than the jumping on furniture and leaping from balconies that many film "duels" consisted of up until that point. Cavens' son, Albert Cavens, doubled for Tyrone Power in the fancier parts of the duel (mostly with his back to camera), such as the extended exchange with Esteban ending with Don Diego's sword smashing into the bookcase. Basil Rathbone, a champion fencer in real life, did not care for the saber (the weapon of choice in this film), but nevertheless did all of his own fencing. Fast fencing shots were undercranked to 18 or 20 frames per second (as opposed to the standard 24fps) and all the sound effects were post-synchronized.

(According to his stand-in, Mike Steckler, whom I just saw at a tribute in Los Angeles, Power always did his own stunts, including swordfights. He dueled in Suez, Mississippi Gambler, Son of Fury, and Solomon and Sheba - you can see his face very clearly.)

^^Though I believe he did have a stand in in the Zorro film particularly when he had to smash a glash with his sword. Power learned to fencer

-Rathbone called Power "the most agile man with a sword I've ever faced before a camera."

Added Trivia: Tyrone Power died of a heart attack in 1958 due to a gruelling repeated dueling scene with a heavy broad sword against George Sanders who was an amateur. So he had to repeat every duel scene with Sanders and his stunt double for the film Solomon and Sheba (and was eventually replaced upon his death by Yul Brynner).