It is a possibility although from what I’ve seen of AxCrypt the want to keep it as simple as possible. Ironically in an upcoming release they’ve introduced an option to sign out after a period of inactivity because people were complaining that it remembers their password for too long!
I store my exotic password in my password manager which can be set never to lock. I don’t even know my AxCrypt password – I copy and paste it from KeePass whenever I have to. This might be one solution for you.
Reslistically on modern hardware the monitor off feature is redundant. It saves virtually no power.