There's a big condensator in the controller, which charges-up when you plug the battery or when you use the switch to let the current flow. This may induce high Amps for a limited time, thus the reading picked-up by the power meter. My Cycle Analyst registers a peak Amps value that is higher than what I see when I climb the most serious hill...so it must be related. I read that some high-power applications require the use of a MOSFET in addition to a regular physical switch, to avoid the high-amp spark when connecting the battery.
There's a few nice implementations of MOSFET-aided anti-spark switches on the German Pedelec forum (worth reading if you're into soldering electronic components):
Bauanleitung Einschaltstrombegrenzung ("Antiblitzschaltung") - Pedelec-Forum