How fast a site will open depends not only on the Internet connection of the website visitor, but also on the connection of the server where the website is hosted and on the network infrastructure - routers, server network card, and so on. Slow connection or hardware that is unable to deal with a high volume of incoming and outbound traffic can have direct impact on the user experience of your visitors and the overall performance of your internet site as people shall most probably see error messages that the internet site is not available or it will take some time for your content to load. In case this sort of a thing happens, it is not very likely that the visitors shall return to the site. For that reason you need to always check the connectivity of any hosting machine that you acquire and not just the main hardware components which include hard drive, cpu and physical memory.