[Michael O'Malley]

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but if there's a betting line, any forward motion with chips past that line will be a bet.

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In California (and I believe all other locations) the oval line on the table isn't a "betting line." It's a line which players should push their chips, and their folded cards past, so the dealers can easily reach them. I believe it was put in for liability reasons because several years ago some dealers filed a lawsuit saying the repetitive motion of gathering chips and cards with arms too far stretched out, caused them injury.

Sparks

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You are overlooking what many have already stated. Whether there was action behind you or not is irrelevent in what you are asking. Some poker rooms actually use a rule that forbids you from making any kind of a forward motion with chips in your hand. If you do, you will be forced to put those chips into the pot.
This is one rule that has MANY variations. I would love to see this rule made consistent. In fact, I am going to write a column about it right now!