I admire your determination to change peoples' minds on time traveling. I don't personally think time traveling is the source of the market being hell right now. The real source is the people hacking in bells and tickets in order to sell them for real money, and the people purchasing these "bundles" thus putting them into the economy.
This is happening because I know someone who is doing it. He swears up and down that he isn't hacking in these NMTs and bells but every single person in our friend circle knows that's a bold-faced lie. And people are actually buying it. He made $500 in a single week doing this. This is overall the reason why people have so many NMTs. Hackers are putting them in the game, people are actually buying them, and they get placed into the economy and spread around. Thus the prices being out of control.
But no, I do not think players that don't time travel have to "subject" to anything. Trust me, time travelers are not evil people plotting world domination as you seem to think.

At this point, even non-time traveling players can have a good shot in the market. The game has been out for a month, and many people have items like gold nuggets and star fragments - or simple luck with good villagers. When someone plays their cards right, all of this can lead to a good bank of bells and NMTs. It's easier for people who time travel to get money but I wouldn't say people who time travel are "overlords" who have ruined everything. You can thank the people actually hacking the game for that one.