When connecting your SG500 or SG1000 printer to your network wirelessly, a few things should be kept in mind:

  • Distance from printer to router does make a difference. The further the device is from the router, the less strength the connection will have. Obstructions, such as walls, appliances, etc will also impact the connection strength.
  • Wireless radio frequency is important. Your SG500 or SG1000 operate on the 2.4ghz frequency. This allows for further distance, but somewhat slower maximum throughput over 5ghz. NOTE: If you are operating on a 5ghz-only frequency, your printer will not locate your network. Almost all wireless routers offer dual-band radios. You must ensure you are utilizing the 2.4ghz frequency.

Your internal network, where your computer(s) and printer(s) reside, is not the same thing as your internet connection. For example, if you were to remove your internet connection cable from your wall (effectively severing your connection to the Internet), your printer(s) and other device(s) would continue to communicate with one another, so long as none of that requires a connection to the outside world.

What this means is that your Internet connection speed will not have any effect on the performance of your printer when printing wirelessly. Factors that can, however, have an affect on this performance will be the number of devices currently transmitting data, as well as the amount of data being transferred between devices. An analogy is detailed below to illustrate this.

Every home network is its own island. 
There are millions of individual islands operating in and of themselves, 
completely independent upon one another. Getting around that island at
any speed will depend upon the number of other people navigating at the
same time. The fewer people, the less obstructions you will encounter 
when traveling between places. When you need to travel to another island,
you will need to navigate the ocean. The more travelers are in the ocean,
the more resistance you will encounter so the slower you will go.

In short, your Internet connection speed has zero impact on the wifi performance of your printer. If utilizing CreativeStudio while using a slower internet connection, you may experience speed issues and slower loading times. If you are printing locally to your printer, from Photoshop to Sawgrass Print Manager for example, you shouldn't experience any significant connection issues.