Are pigeons clever?

My daughter has a bird feeder suspended under an overhanging 1st floor window (it's a very old house in Devon, with no garden and right on the street. She thinks the local pigeons have worked out that if they fly upwards and knock the birdfeeder sideways, this spills the birdseed onto the road where they can hoover it up. Is this likely (she hasn't seen them do it) or are the smaller birds just dropping the sunflower seeds?
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I got a cage to go over my ground table and one of them walked round it in a circle for a solid few minutes gawking at the sunflower hearts.
Crows however are the opposite. I've had to cable tie my feeders down to their feeding pole as they'd flip them off the hooks to knock them onto the ground.
They're big hooks that loop right back on themselves as well so it's a fair effort.