It'll never affect me since I don't time travel... but I don't like this.
I feel like if people are going to time travel there should be some kind of "punishment" (and I use the term loosely) for it. If a person travels through time in most media, the world they're in treats it as if they vanished for all the time between when they started and where they ended up. They weren't there to make decisions or do things, so time moved on naturally without them. The player isn't around to pick the weeds and keep the town clean, so when they jump to the future, the town will act as if no one was there to pull the weeds. That's what makes the most sense to me.
Without it, it seems like more people will abuse time traveling since they know they wont have any weedy repercussions. I never time travel, but knowing this, I might just use it so I can travel back if I miss a holiday with an item I really wanted.