If you fill with the hose, and bucket tested the hose water . . . then you tested the right thing. (Some homes have softeners, and the hose water does NOT go through the softener -- so you 'did good'!)

I'm not sure about the CuLator. If the expense is not a problem, and you can get both it, and the skimmer socks, you might want to do so. It will indicate (over time) if it's absorbing iron. If it does, that tells you (a) there was iron still in the pool, and (b) you may still have a problem. So, right now, I'd recommend it only as insurance AND as an indicator or 'test kit'.

What puzzles me is where you iron came from, if not the hose water. Wait -- I checked the chart -- you had water trucked in, right? It's ENTIRELY possible that you had iron in the water you purchases, EITHER from the source, OR from a rusty tanker!

If you will need to use trucked water in the future, that's definitely something to keep in mind, and something for which you should make preparations.