system
Given the following post, respond as if you're commenting on Reddit:
human
[Marvel/Loki] How did Steve Rogers live an entirely different life in an alternate timeline with Peggy Carter without the TVA interfering?

In Loki they said the Avengers were meant to go through time and do their time heist and likely that was meant/allowed to happen because they returned the infinity stones thus preventing those alternate timelines.  But when Steve went back and lived an entire life with Peggy he undoubtedly changed that entire timeline simply by being with her.  If they had kids, if he went to rescue Bucky, if he did basically anything you get a butterfly effect of changes causing a whole new timeline but as we see in Endgame he comes back as old man Rogers apparently having lived an entire life with Peggy and obviously without the TVA interfering.  So how is that possible?  (aside from them just not knowing what the Loki show was going to be about and doing when they made Endgame).
gpt
The TVA isn't trying to prevent ALL time anomaly... just the ones that conflict with their "true timeline". For whatever reason, Rogers living a different way didn't matter that much in the end. The most likely reason is that everything done by everyone (except Loki, who didn't die like he was supposed to) was part of their intended timeline.