There are a numb of factors resulting from the question posed. Paper does get charred below its ignition or flash point which may mean it crumbles & become ineffective and give an off taste.
Just to settle the ignition & flash points I provide:
Ignition temperature (also autoignition temperature) – The lowest temperature at which a material, when heated in air, will spontaneously ignite from the heat of oxidation in the absence of any other source of ignition energy.
Flash point – The lowest temperature at which flammable gas given off from a material heated in air is ignited with external ignition energy when the density of the evolved flammable gas has reached the combustion limit.
The ignition temperature for paper is reported to be 450 oC (842 oF), and the flash point of paper is estimated to be 350 oC (662 oF). The reference for all of this information is the Handbook of Physical and Mechanical Testing of Paper and Paperboard Volume 2; Edited by Richard Mark.
When you stop horsing around it is time to fire up the BBQ & Smoker