A nice context to think about the Laplace transform:
Eugene Khutoryansky — Convolution and Unit Impulse Response https://www.youtube.com/watch?v=acAw5WGtzuk&t=561
it clearly adds to a more planar presentation of the material in that it elegantly exploits the third dimension to put the dual aspects in plain sight.
Eugene Khutoryansky has been producing quite a few of these for a large variety of concepts! Watch them all!
Oh, and if you haven't read what Mike Shulman has to say about it here:
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