>This is no different from someone blocking your driveway with a car. And like when someone parks a car illegally, you're not allowed to just take it or destroy it. You have to go through proper procedures to get it moved even if it is a major headache for you.

Not necessarily disagreeing with you, but what's the cutoff for this?

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There is a practical difference between a scooter and a car being left in your driveway illegally: the scooter is easily destroyed/thrown away, while the car isn't. But your point that illegally abandoned property doesn't make it the landowner's property still stands.

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More to the point: what if the item left behind is a bicycle? A skateboard? A pair of shoes? A single shoe? A single sock? What if any of these are partially worn/damaged? Does that change the calculus?

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These are all transportation aids, in descending values. My point is that at some point, we cross the threshold between "that's still their property and you can't just get rid of it" and get into the realm where it seems reasonable to consider the item as lost/abandoned, or even litter.

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Is there a codified dollar amount of value that sets this? Some legal phrase about 'reasonable expecation'?

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Getting back to OP's case specifically, why can't they just throw them away, and if anyone says anything, just reply, "Someone littered them in my driveway, so I cleaned up their mess."?