In the HSM specific lecture the infographic comparing HSM vs. KMS says KMS supports symmetric and asymmetric keys. The HSM portion of the section overview says KMS only supports symmetric keys.
I believe the overview infographic of KMS vs. HSM needs to be updated, because it looks like KMS supports both now.
You’re right Patrick! KMS was updated more recently than this course so that’s why you see the difference. It takes time for AWS updates to make it into the courses. However, it also takes time for these changes to make it into the AWS exams so keep that in mind.