Hi Peer
Yes, Michael's solution should be easier and faster. :)
I'm not sure if I understood the accuracy problem.
I think those "very close" points you mentioned are in a same height.
Curve below has 4 intersection points on highest location. all with the same "z" value. (values from nodeeditors's info panel)
Another test with moi's dimension tool:
I've made the blue line like this:
curve >> project >> use CPlane as target >> create a straight line on projected line
red line : nodeeditor

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