Yes, it would.
But nobody has ever seen or heard of a P85D being 'upgraded' to Insane mode for $10k before.. when all P85Ds came with Insane mode. My December 2014 P85D has Insane mode as standard, just like every P85D. Maybe you have a P90D and paid the $10k to upgrade to Ludicrous mode. Maybe they installed the Ludicrous hardware, didn't update the software flags to enable Ludicrous mode on the touchscreen.
If you have a receipt showing otherwise, please share it. That should solve the mystery.