Tinderbox inventory detection or Reset ignite property: I need one!

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Does the entity callback returns true for ignition even if player has no tinderboxes?

For SetEntityCallbackFunc() the callback is not triggered when the user has no tinderboxes and tries to interact with the entity. However, after the user obtains tinderboxes, once triggered i can no longer light the entity again even if i pass false to SetLampLit().