How quickly a website will open would depend not only on the Internet connection of the site visitor, but also on the connection of the hosting server in which the site is hosted and on the network infrastructure - routers, server network card, and so on. Slow connection or hardware which cannot cope with a high volume of incoming and outgoing traffic might have strong impact on the consumer experience of your customers and the functionality of your website as people will most likely see error messages that the internet site is not available or it shall take a long time for your content to load. In case such a thing takes place, it is not likely that the visitors will return to the site. For this reason you need to always confirm the connectivity of any server that you obtain and not just the main hardware components such as hard disk, processor and physical memory.