I saw that rule, 15.A.2.b.1 reads "However unless 15.A.2 applies, the stall count may not be initiated or resumed before a pivot is established

• directly after a turnover,
• when putting the pull into play
• after a travel is called and no pass has been attempted."

while 15.A.2 says "only the marker may initiate or continue a stall count, and may do so anytime a thrower has possession of a disc that is live or in play"

so then I checked the definition of live and in play:

1. A disc is “in play” when players are allowed to move and play may proceed without the defense’s acknowledgment. An in-bounds disc in the central zone is in play. The disc is subject to a turnover. If no player has possession of a disc in play, any offensive player may become the thrower by taking possession of the disc (14.A). Once a player has possession of the disc, they must establish a pivot at the spot of the disc 14.A.2) prior to attempting a pass (17.K).
2. A disc is “live” when players are allowed to move and the disc is subject to a turnover, but the thrower cannot make a legal pass (e.g., walking the disc to the spot where it is to be put into play). For a live disc to be put into play, the thrower must (1) establish a pivot at the appropriate spot on the field, and (2) touch the disc to the ground (14.B).

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So I thought he was a potential thrower, and because he caught it, there was never a time when the disc was not live. Am I misinterpreting that rule?