Hi Andy,
- AppServer Java Agent could instrument at class level but going through the link for one category it looks it is gif requests which does not looks involve out of box supported servlet interceptors but for jsp case, we should be able to define Custom POJO rules as stated in docs if out of box BT detection (though servlet entry points and auto discovery is enabled under Configure -> transaction detection in UI ) does not help
https://docs.appdynamics.com/display/PRO41/POJO+Entry+Points
If above is not the case, please send the archive of logs and conf folder under <AppServerAgent_dir>/<ver>/ path for initial review of logs and classes being intercepted