Have you tried in your Weber?
A lot of times, the dogs do a prewash on the pots and pans which necessitates a soap and water cleanup.
I usually reseason each time after wiping with a clean towel and thermal drying on the stovetop.
When the pan is hottish, I spray whatever spray oil I have in the kitchen (Safeway or Kirkland) and wipe with a paper towel.
I get the CI hot enough to where it just barely smokes and have the range hood on high. As that 'bakes' on, I'll spray/wipe a few times.
I've done bare CI like that, but it takes a bit o'time.
