They will not troubleshoot wordpress problems, other than to refer the user to wordpress for analysis of the situation. This is typical of all hosting companies who do not have the resources to troubleshoot 5000 users all complaining about every piece of website software under the sun.
They meet/exceed the minimum PHP and MySQL requirements for wordpress 3.2.1 and beyond that, they are not going to lift a finger.
If anyone can point me to specific php.ini requirements / recommendations, I can at least look at and adjust those settings without going through the hosting company's support team.
All I do know in that regard is that gzip compression is not the culprit as is commonly suggested. I've tried both on and off without any change in the symptoms. Also, the server error logs are not catching anything, so apparently it's not a script error, per se.