If you are using a shared hosting plan, your company will probably apply some “small” limitations to your user account, even if you have hired an “unlimited” plan. The reason why hosting companies apply these limitations is to avoid ‘noisy neighbour’ incidents, in which one client could potentially affect hundreds of other clients on the same server by using too much RAM, bandwidth, etc.
With an offshore dedicated server, these performance issues do not occur since you have the entire server at your disposal. The only time you might experience an issue is if you launch applications that are too heavy or have higher amounts of traffic than the server is configured to support. However, in most everyday cases, an offshore dedicated server will be able to overcome these performance requirements without problems.