Here's a quick update on the Weber cubes: Yes, they light on the first strike with the Spark-Lite (essentially a BIC without any provision for fuel). I was vacuum sealing some single cube mylar packets and had a bunch of shavings left from cleaning up the Webers, so I tested it out. I'd say it's a robust YES.
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“I'd rather have questions that cannot be answered than answers that can't be questioned.” —Richard Feynman