That is pretty much correct. iTunes will maintain a separate list of apps that will sync for each device. Occasionally when a new app is synced back from a device to iTunes, it will get synced to the second device later. Simply deleting this directly from the iPad will un-tick the sync box next time around.
If I may ask another question concerning syncing (assuming all is working correctly). I have a 3 some syncing setup consisting on the PC, iPad and iPhone. When iTunes is loaded up on the PC and either of the iOS devices are connected, when the APPs tab is clicked the window that open up contains the listed/installed icons/APPs
In the right side list there are tick boxes next to the icons, these I believe are ticked for syncing. If that is the case then here is my question.
It is obvious the not ALL apps need to be synced the same on both devices, ie. I do not need for example "pages" APP on both devices, only onto the iPad.
I will make an assumption here and ask your response. Using the "Pages" APP as an example, if I unstick the box for that APP whilst the iPhone is connected and the sync goes through, ONLY the iPad is synced when it get connected? The next time the iPhone is connected, it is not synced because the check box is still unticked. Is this correct?
Music is your iTunes music player app. Any music that gets synced from iTunes will show up there. iTunes on the iPad is only the store.
Incidentally, I found where those crappy songs were hiding, they are hiding on-my-iPad under the music icon. Hopefully I can now do something about that.