Based on some of the comments in this thread, looks like a little meaning may've got lost here in translation from developer-speak. So to clarify...
This change is referring not to the RuneScape website, but to the in-game Upgrade button and membership icon that (up until now) appeared on F2P accounts on the desktop HUD.
(If you've been a member for a while, you might recall the button used to be labelled Subscribe.)
Clicking the Upgrade button took you to our subscription website, and though F2P could move the button around their interface, there was no way to remove the Upgrade button other than maintaining a membership.
Since in-game membership purchase is available via Upgrades & Extras -> Marketplace, we've removed this Upgrade button to improve the player experience in F2P.