What kind of interpreter handles what
Code:
https://MyDomain.com/fever/
points to (PHP, Ruby, Python etc, etc)?
Since you use 'curl -L' what does the resulting redirect URL look like?
Do all "?refresh" redirect URLS return a 200 in your web server log?
Does using other cron job interval, say 00,30 work OK?
Is there any server or client side caching?
Any if-not-modified or other headers?
What is the actual 'curl -L' output?
Have you tried debug mode?