As the title reads, moving an ignited Log Pile block with a piston (or sticky piston) disrupts its aging process. It still shows up as activated, but it does not progress towards turning into an Ash block, nor does it burn up if not covered with solid blocks.
Tested with Minecraft 1.20.1 and Forge 47.4.0, with the only mods being Forestry CE 2.6.2 and Patchouli 84.1.