We often fall into the trap of assuming the ornaments written are a strict direction - they are actually more a serving suggestion, and Bach and his contemporaries would be horrified at the idea that a musician couldn't improvise ornamentation freely.
You can often simplify them as well. Also, even if you are perfectly happy doing them as written, if you are playing repeats in a piece, or even recaps, the first time through should be ornamented rather more sparingly than the second (and subsequent) runs through, so practice in simplifying (and embellishing) ornaments is quite useful.We often fall into the trap of assuming the ornaments written are a strict direction - they are actually more a serving suggestion, and Bach and his contemporaries would be horrified at the idea that a musician couldn't improvise ornamentation freely.