Accelerate fetching the pages via F5 LTM

The best way to see if there is any improvement is to test traffic with that profile.

Firstly, you have multiple TCP profiles, so you can test that based in the type of connection and device you have in the client side and server side.

Next is HTTP related profiles, you talked about compression and caching.

Compression would make the pages smaller, so fast to transfer, but needs to be decompressed in the browser, so it may not improve things.

Caching, will remove some work from the server, and also provide faster response to the client. However, that requires more RAM memory F5 device, or disk in case you go for AAM.

So the answer is not easy, as it depends on your requirements/scenario. However, with caching you should definitely see some improvements.