Regardless of whatever colour management you do or don’t use, export your for-web images in sRGB, converting them to sRGB from ProPhoto, AdobeRGB or whatever if necessary.
+1. I understand that the advantages of AdobeRGB in very colour-rich photos are far outweighed by the time-consuming issues it often throws up for non-expert users, as well as the more general issues related to sharing non-sRGB images on the web. sRGB may not be the best in terms of absolute gamut, but it does allow one to get on with image-making and easily covers the needs of hobbyists such as myself.
I really think you’d find things much, much easier if you make your whole workflow sRGB, and then ensure that your OS and monitor are set to use sRGB and adjust your monitor image controls so that things (websites, etc.) appear sane and balanced. That alone should get rid of issues such as the purple.
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