I have an old WinPhone with a weak processor that only loads the current tab. This makes tabbing the browser functionally pointless.
Heavyweight responsive websites are unusable. I have to wait indefinitely for page to load, and there's no way to make it load in the background. In the rare cases where the pages progressively display, scrolling is still agony as elements jump around constantly.
While I realize I should probably get a new phone, I'd wager I'm not an edge-case and a lot of users with older or bargain-bin phones face this kind of frustration.