I feel that the Game that embodied Sony even though I couldn't get into the last few games was Uncharted and now that it's pretty much run it's race, it's a two way race between TLoU and GOW, but I feel if we are talking differing approaches to games that involve post apocalyptic worlds then from Sony's side Horizon fits the bill better than TLoU, since both Horizon and BotW involve larger and more open worlds than TLoU and both have tower mapping, and while all 3 post apocalyptic games look back at the past, Alloy and Links journey's have a deep connection to why and how their present worlds came to be.
I agree that Uncharted used to be the Sony game until TLoU came around. GoW has had an impact for sure but I'd say that the newest game has some TLoU influences.
I don't disagree that Horizon's gameplay and setting is more similar to BotW than TLoU but that wasn't really my point. Horizon, although successful, wasn't the megaton on gaming that TLoU's success was. I feel like both TLoU and BotW have the same caliber of impact on gaming as a whole, that was my point.