There have been such reports that either of these can slow down your PC performance and there could be a couple of reasons for that. You either have slow internet connection on your local or remote computer, or, the remote computer has lesser memory To solve this, you need to optimize either of the services you are using. For example, if you are experiencing poor performance of your PC or Remote PC while using TeamViewer client, go to the Menu >Remote Control > Quality >  Optimize Speed. That should do the trick.