Should I check the "Embed Colour Profile" box when saving as jpg/PDF?

[PennyLaneStationery]

I would be so grateful if somebody could tell me whether this box should or should not be checked. Is the answer the same whether I am saving as RGB or CMYK, should it always be checked, or never be checked? I can't find a clear answer on a google search!

At the moment, I do NOT check it if I am saving as CMYK as I then get a hazy film over the jpg's, like they are washed out. If I am saving as RGB then I DO check it.

I just would love to know the correct answer!

Thanks

[ElizabethOOOG]

Is there a predictable hard proof proving Color management? It been a year. 

[Bob_Hallam]

If this is a new question.  Start another thread and explain what you mean by "it's been a year "

[ElizabethOOOG]

Thank you Bob. Not interested in starting new thread. Color management is the same conundrum it has been since the beginning. I'm certain the majority of color profiles are not maintained. Profits are in proofs and errors. How do you keep up with all the input, output, substrates, monitors, inks, heat OTD, and weather? I predict color with numbers and have a spectrophotometer to measure, eyes 100% legit. It's great, you have simular qualifications as I. I'm curious. Thanks for your reply.