we had requirements to load balnce two front Apache server and 2 weblogic servers. F5 configured as ssl offloading for Apache VIp and Weblogic port is confiured on 9000 port
according to app own...
I'd say that's a good choice as long as the Apache to Weblogic connections are short lived which I'm sure they will be. So, are you able to remove the Weblogic Virtual Server persistence?