That said, I probably still would avoid a cheapo player like this that does not have an adjustable tone arm. For one, it's more likely to have issues skipping when you can't adjust it properly. The second concern - which I'll admit I have no data to back up, and since this is an opinion from the audiophile community, may warrant some skepticism - is that cheap players with unbalanced tone arms are infamous for supposedly wearing down records more quickly over time by applying too much pressure.
The author's note about the stereo output being unbalanced, by the way, is a relatively common side effect of an unbalanced tone arm (though there's various other reasons it can occur).