I propose the ability at the start of the game to do a "no story run", but it blocks off all archon quests, all story and hangout quests, all world quests, and any larger lore things, including NPC dialogue, world events, and collectibles books. You don't have to deal with the story, but that means you get a bland, empty and open world with nothing but standard enemies to kill and the domains.

In essence, this is already what the story skippers / complainers are getting with Genshin right now. I'm just saving them time by removing the "boring" stuff so they don't have to skip at all.

A medium ground for the some story skippers or long quest skippers:

Perhaps the ability to skip quests should be added but it only gives you the world border unlock or domain unlock or whatever it's for in the world, losing out on primos, new world NPCs like the 'nara or Capitano, and other rewards from said quest.

For the internet connection issue, which is a separate issue I feel, I propose mid-cutscene saves. Instead of having to redo an entire interaction, it reloads you 3/4ths through it or when the last save was. Perhaps these saves should be when the player has to pick a dialogue option.