You need to use some elbow grease, but Magic Eraser will get it off. you just gotta work those arm muscles.
The only issue with the Magic Eraser is that it's an abrasive pad, no different then sand paper. It will remove plastic and thus some of the original texture.
I would NOT use alcohol on the plastic. It could discolor it. Goo Gone is more of an oil. I would/do use Goo Gone
Isopropyl is ABS safe. 30 seconds of exposure will not harm the cart. Hell, I soak cart shells in 50/50% distilled water/iso solution over a 24 hour period to remove the labels for the really expensive practically radical omnivorous carts that I make

REALLY long exposure of a high concentration will eventually discolor it, but like Windexwhic contains Ammonium Hydroxide (not very plastic friendly at all), the concentration and length of exposure isn't enough to do any real harm. I've used Windex and Iso to clean carts for decades and have never seen any ill effects.
goof off you can find at home depot or lowes for under 5 dollars and it works every time just dont spray it directly on the cart, spray on a paper towel and it works every time...
Don't EVER use Goof Off on plastics! Goo-
Gone is orange oil based, Goof-
Off is Xylene based. That shit EATS ABS like Kanye West puts his foot in his mouth.