I use PS mainly for painting pre-made templates for a racing sim, silly memes and 'photoshopping' photos, which aren't exactly fine art. I do all my professional editing in Lightroom. So, no, for my applications, I don't need to go down the rabbit hole of color manegement so a NAFO meme can be color corrected.
The biggest problem is figuring out 'how' the color profile got changed from the original template. That's what caused the issue for something that is only marginally imporatant. Mr pfaffenbicher was already kind enough to tell me to have the profile showing on the bottom so next time I can see that someting happened even if I dont know how.
It doesn't matter what you do. Photoshop is based on using icc profiles, and if profiles are inconsistent or wrong, it will look wrong. End of.
If you want to keep it simple, stick with sRGB IEC61966-2.1. Create your files in sRGB, convert to sRGB if they aren't. Never use any other profile, anywhere. And stay well away from any kind of wide gamut monitor! Once you get one of those in the house, there's no way you can ignore color management any longer.