Mine is frequently just left out, usually hanging from the towel rack. I usually have the end couple of feet of hose coiled around the top of the bag and hanger, so that the nozzle doesn't lay on the floor.
It's a longer towel rack and there are usually a few towels hanging from it too. Not too many to obstruct much view of my bag if it's hanging there though, plus it's a red rubber open top. Anyone sitting on the toilet would about have to notice it, it'd be about 5" away and right in front of them. Even if a towel was draped over it, it would be at least partly noticeable, with its hose, and that red color standing out.
A few years ago I was only slightly mortified for a few minutes, after a friend of my late wife had stopped by kind of unexpectedly to harvest some peaches from the peach tree. She had an open invitation to "stop by anytime" and she did. I chatted with her while she collected her peaches, and invited her in to visit a bit. Shortly after coming inside she used the restroom.
I didn't think anything about it at the time, but after she had visited for a while and had left, I went in to use the bathroom and had noticed that my bag was on the towel rack. Some towels had been pushed around it and it wasn't glaringly obvious that it was hanging there, but it was pretty obvious. No nozzle was on it at least, that would have made it more embarrassing if anything other than just a standard enema pipe had been attached to it. I generally remove the nozzle used from the hose right after use, clean it very well and place it on a shelf in the bathroom closet for it to dry there. It's the same shelf that my disposable enemas and a few other nozzles are kept on, along with a few other standard personal care items.
She had to have had noticed it, but may not have thought much about it if she had. It was pretty much undisturbed I think, there were other towels on the rack to use. I don't think that she used the towel scrunched up next to the enema bag lol.
Like I had said above, I was only slightly mortified, and only for a few minutes. My thoughts then quickly turned to "didn't care." She's an older woman, I'm getting older, we're all getting older and my attitude is of lesser concern about what other people think when it comes to certain issues such as constipation, "bathroom problems," hemorrhoids included, etc., etc. and the remedies of such.