Drones are very lightweight and small, a plane tearing down the tarmac at 150mph is going to throw up stones, rubber debris etc the engines just eat it up.
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Actually there is a reason why any commercial airport takes any reports of anything on the runway seriously.
It doesn't take that much to damage an aircraft (they even have the lovely term "foreign object damage" to describe it), and something getting ingested by the engine at take off or landing (which is where drones are likely to be an issue) is the absolute worst time for anything to happen to the aircraft, because it's at that point that they tend to need the most power from the engines and there is the most already going on in the cockpit with the least time for the crew to react to anything.
Small bits of metal on the runway have caused all sorts of problems in the past when they've been sucked up into the engine, which is one of the reasons virtually every airport in the world has a regular routine to clear stuff off the runway, and will shut the runway down if there are reports of anything on it.
Anyone found operating a drone inside the limits of the airports airspace without permission, or in a manner that endangers aircraft should have the drones destroyed, themselves be banned from owning or operating drones and have the book thrown at them.