If it had any impact on the writing, then it certainly wasn’t present for BotW/TotK. Taking the various branches and smashing them together just for sake of references (despite the incompatibilities) showed to me that they really weren’t worried about the timeline internally and didn’t consider where or how the games fit together.
The official timeline was already a botched version of the fandom’s timeline, and the fandom continues to come up with far more interesting variations of the timeline that answers far more than the official does.
I mean, the official doesn’t even interface with the split timeline created by Skyward Sword, or how both Oracle of Ages and Oracle of Seasons can happen in either order. Also it’s just poorly designed; the “Hero Defeated” section is not a timeline but an alternative universe. There is no canonical ending to Ocarina of Time featuring Ganondorf’s victory in the game itself (unlike LoZ II’s ending card), meaning those games cannot be attributed to that scenario without changing it from a timeline to a separate universe entirely.