No labrum tear, although I read that many with hEDS do have tears. Just the hypermobile SI Joint and its "collateral damage". The first Drs and the Orthopods all thought my SI Joint issue was a hip issue but found nothing.
Test to determine if joints are hypermobile and how far they move can be done at a chiropractor's office who has a "digital motion X-ray" machine. My Regenerative Med Dr. had me get one and have it sent to him.
An MRI can also show ligaments as well as tears so ask him about the ligaments. ... don't know if the illiopsois will be included in positioning. And I did read that testing for lax ligament is a physical test, not a picture test.
More good luck wishes

The thing about labral tears is that a good proportion of people (with it without underlying conditions) are walking around with labral tears, but it doesn’t cause symptoms, so it’s very hard to isolate if a labral tear is the cause of the pain of not… And the treatment is either surgery or physical therapy anyway.

So frustrating to untangle things, isn’t it? =/