Most definitely, or the heat will shrink your All-Rounder in no time. Plastics and heat...my wort is hot when it goes into the fermenter, [...] Next time I'll use an All-Rounder, and the wort will have to be colder.
So, are you getting a wort chiller and pumping/recirculating (cool) pool water through it? That would be almost perfect, unlimited cold pool water. Just don't let any of it leak into your wort, chlorine...
Or still going to use a bucket floating in the pool before transferring to the All-Rounder? Are you putting a swimmy tube around the bucket, to keep it upright? How about using 2 buckets, half full, giving you twice the cooling surface and another bucket to clean/sanitize.