There is a portable Palemoon 27 that runs in Puppy Linux 5.2.5 Lucid. It works on SSE systems.
Is there anything like Palemoon 28 like this, or, say, Firefox 52? That Deviantart problem is driving me crazy, and now I'm wondering if static.parastorage.com simply does not play nice with Puppy Linux, since modified Firefox 45 ESR, Basilisk 52, and Palemoon 28 take half an eternity to get anywhere using WINE in Puppy Linux mode but when run under XP mode are within acceptable limits. Even taking the slower times with WINE the difference in time is insane.