I personally think the tire company "wins" here as they are the one providing (and hopefully willing to stand by) the warranty on the tires. If they say to cross rotate every x number of miles then that's what I'd aim for.
I once had directional tires and said I'd never again get directional tires. Admittedly I'm not a tire expert. I don't much see the point of rotating tires front-to-back-&-back-to-front when on the very next rotation each tire will be right back where it started.
If the fronts tend to wear more than the rears then yes rotating will "pause" that particular wear pattern but only pause it.
Also will the front-left wear pattern match/equal the front-right wear pattern - in mostly city driving I'm thinking not.
So as the miles rack up the relative disparity of wear for each tire with each of its sibling tires gets worse and worse.
And so to me (again no expert) without 4 tire cross rotation there is no way to keep the relative wear of all the tires in the same ballpark. So again I would do what the tire manufacturer says.
Even though my current all season tires have plenty of life left I'm thinking this fall I may switch to all weather to get better cold weather / winter performance. Not willing to go the route of two separate sets of tires - summer & winter.