Pretty good, everything was probably set up and configured with default settings by that unpaid intern they had running their infrastructure back in 2003.
Rotate maybe, not wipe. As far as I'm aware for most webservers you have to tell it to rotate the logs based on some criteria, otherwise it just keeps appending.
If debugging is turned off it's entirely possible that they have been appending lines to the same log file for the last 20 years and haven't run out of disk space which would cause them to notice. Say 200 bytes in the log per request, and even averaging 10000 (probably more than they get) requests per day, in 20 years that's only 13GB.
It's also entirely possible they turned logging off or redirected to /dev/null in order to "be more efficient".
What are the odds they have access logs going back to 2003?