Save Color Profiles by Default
By default, the color profiles I assign to the file should be saved.
There have been several times I have assigned a color profile to my Illustrator file, saved it as a PDF, and the printed PDF were the wrong colors because Illustrator didn't include the assigned profile. I then had to reopen my file, manually tell Illustrator to include all color profiles when saving, and then reprint.
It is ridiculous that the file doesn't save assigned profiles by default.
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Not including profiles is the default option when using [Illustrator Default] PDF preset and I personally doubt it would change. Managing profiles is considered to be an advanced thing (a lot of users have no idea what these even are), and forcing the option and breaking the legacy default would be disastrous for many...
You should definitely setup your own preset with options needed for your specific workflow and use it for output.