Pagespeed gives you some info about what is refucing your sites speed.
Regarding your accesed users page speed, if your site is slow.. it will be slow in bot parts. Plus i don't create accounts on sites that never load, except if that site really offets something that i need. Like browserstack, when it has to virtualize the selected browser... I hate it , but wait because i need it. When i read your post I thought you wanted to make sites load faster, but can be done by minifying files, reducinf image sizes, adding htaccess ttls, adding cache on the server... Its hard.
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