I use a BB. We do not have a special server. I am able to have all my email checked by T-Mobile and it pulls to my phone. When I login on my desktop, I see it again.
From my BB, I can delete it from the server, if I opt for that on a message by message basis.
If I leave my desktop on, Outlook draws my email off the server. At that point it isn't there for my BB. So you should have Outlook checking at a longer interval than the BB, or you miss some messages.
Someone with a dedicated server can tell you how their system works.
My opinions are not necessarily my employers.
Rules and Regs minus Relationships equals Resentment and Rebellion. John Maxwell