Like Alternate Mother, like Alternate Daughter.

But now all I can think of is that this guy really did talk about time travel beforehand to Jane, and Jane was giving Jake a hard time for time travel. Like, the hell Jane.

So we are going in reverse order then. Instead of Rose->John, it is              Beta-Lalonde <- Jane. And Beta-Lalonde is not as dependable as Rose is.

Also, it’s a bit weird for (western)friends to call each other by last names. It get the big name reveal, but in canon that is a weird thing to do

What kind of bullshit are you sitting on Jane!? If you knew that you are going on like some magical fairy adventure via video game, why did you give Jake a hard time with his time traveling mimsy present? Is that really that much of a stretch compared to what UwU told you.