My opinion on "Synchro" Evolution ("Synchro" is in quotation marks as it is a rumor):
For starters, I really dislike the concept. Especially since it sets a bad precedence that we will get some new transformation gimmick every generation instead of continuing Mega Evolution, which is a solid concept. And here's what would happen: you either have to abandon new Mega Evolutions or split attention between Megas and "Synchros".
Also, it seems unlikely. Especially with character customization returning. Let's look at Ash-Greninja to show what I mean:
In this case, Greninja gains from Ash some black on it's head (hair color), red batter on the middle of his head (hat), and his torso pattern changes (reflects shirt).
What does this mean for character customization? Well, here's a basic rundown of
X and
Y's clothing options just for Greninja:
Hats: 19 Male, 27 Females
Shirts: 35 Male, 34 Female + 10 Dresses
Hair Color: 5 (Blond, Orange, Honey, Brown and Black)
That's a lot of variables and that's just
X and
Y! Who knows how much they have added. We might have every color in the rainbow hair-wise!
And that's PER POKÉMON! Even if it's just 20 (roughly the same as the initial batch of Megas), that's quite a bit of work. It's not a simple thing like creating one set of stock elements for the characters and Pokémon. And they would have to update it every generation or keep the protagonists the same. And there wouldn't be a consistent look, meaning you can't really market them (merchandising, where the real money from the game is made).
Also, honestly look at Ash-Greninja. It doesn't feel that much different from Greninja. Compare that to various Megas, and you'll see what I mean.
Finally, comparison time. You know what this feels like to me? It feels like what happened with Snoke in the Star Wars fandom. A few people got it in their heads that he would be revealed as Darth Plagueis, a character mentioned twice in a single movie. And they would use anything as evidence for their theory.
This started out on similar grounds: people seeing the symbol in the Japanese
Sun and
Moon logo and thinking to a random Pokémon manga that isn't the most popular thing in the world. When the symbol is in essence a d8, not an uncommon shape.
Right now, this is a rumor based on one of the more random elements from the anime that feels more along the lines of Spiky-Eared Pichu or Cosplay Pikachu than a new form of transformation and a random and strange manga that was never released outside of Japan.
tl;dr
It most likely won't happen.