Yes, you made a specific example, which does show key.. I am quoting "Gary Burton" from his "Jazz Improvisation" course on Coursera.org..
Purposely I have written jams, which change, key and modality so frequently there was no key, or you could say 3 bars in one key or modality, then shifting, and shifting.. Result was kind of wandering musical wall paper... not the kind of music I would pursue anymore, but I did it as a test.
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