Had this proposal been suggested a century ago. I would have a good feeling it would have been made a reality since it doesn't interfere with a 7 day work weak.
Today with computers, it isn't really necessary. Anyone is able to check when July 1st will be in 2500 without calculating. So it is not likely to gain to much interest except in by theorists.
This proposal introduces an artificial calendar that is neither solar or lunar but realigns every few years. It is quiet a novel idea.
The Jews did similar engineering in their calendar system. The rabbis did not want some holidays to fall out on certain days of the week because of varied reasons. So they engineered rules for the leap years and new months to happen in a pattern to prevent this.
The Jewish calendar is lunar but realigns itself with the solar calendar. It need to be certain Jewish holidays always accure in the same season.
"The Julian calendar began in 45 BC (709 AUC) as a reform of the Roman calendar by Julius Caesar. It was chosen after consultation with the astronomer Sosigenes of Alexandria and was probably designed to approximate the tropical year (known at least since Hipparchus)."
"The Gregorian calendar reform contained two parts, a reform of the Julian calendar as used up to Pope Gregory's time, [...]. The reform was a modification of a proposal made by the Calabrian doctor Aloysius Lilius (or Lilio)."