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I have zero physiology / anatomy knowledge to back this up, but isn't there a literal pumping effect from running?
My highest HR (which must have been 8 / 9 years ago) was 195, running fast down a very steep hill at a very high cadence.
At the time, my highest was usually 185ish, in the back of speed sessions and hill sprints.
Nowadays I have no idea, as I can't hit max effort without aggravating injuries.
I think Max HR for running is meant to be higher than for cycling, mainly because you are using more muscle groups.