With your latest circuit, it works with one cycle, two cycles, or many cycles. The csr avg currents are always the equal.
However, be aware that if you increase C1 to 10,000u and only view the two pulses as you are above, the avg currents will not be the same because the current doesn't settle down to 0mA after each pulse like it does when C1 is 330u. This is one reason why we should almost always be using many cycles to allow the sim or scope compute a proper and accurate avg value.
The sim file posted above does not match with the picture or settings. I have made some adjustments to it (attached).
PS. I didn't see your post Ion, but yes good point on the drive voltage. I left it at 5V because it seemed to be switching ok. I just tried it with 10V and the results are pretty close (slightly higher avg current).
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