I wouldn't doubt it. I mean there are people around here buying 30 year old, 400lb light gun games with broken light guns, so I wouldn't be surprised.
Collector's are always focused on originals though. Just look at cars, it doesn't matter that newer models can be better in every imaginable way, an old all original (meaning all really outdated) car can be worth a fortune. I don't think there's a big collector's market for PT Cruisers for instance, even if they took inspiration from the 1930s cars.
In this case, I do see some potential for Arcade1Ups to bottom out, for there to be enough floating around that it doesn't take a great effort to find ones for $75 or less. To that end, once those slowly vanish, could they go back up in price a bit? To $150 or may be even $200? Sure, I guess so. Especially if the originals become impossible to track down. But, the idea of these being collectible in any true sense, that there might be people out there making them focal points of their collection seems tremendously unlikely. They're basically cheap imitations of the originals, not even improvements like modern cars can be considered. They don't even hold the unique characteristics of those Tiger handhelds, which at least had originality going for them. They're just definitively worse versions of something else.
It also doesn't help that pretty much every Walmart in the country has stocked them. They are far more common than the original arcade machines as well. The more likely result is that these end up driving more people to try to get their hands on the original arcade machines, driving those prices even higher.