Aah, sports orthos are awesome when it comes to getting back full function for their patients, so they often use well-proven surgical procedures. For example, my ortho only does posterior hip replacement surgeries, because their own (huge) practice keeps statistics that show better results for active people who need the very best & most accurate fit, even though recovery takes longer. So with 2 known tears, the conservative approach would be open surgery so they can see the whole field in case there is more damage.

Like you, I always try the conservative approach first. Glutes sometimes heal over time, so maybe continued therapy is okay - whether there is a risk of more damage would be a question for the doc and a matter of how patient you are. Glute surgery (because they are repairing a large muscle) has a pretty long healing time, so you need to look at what that does in your life as well.

What does the doctor say about your chances of healing without surgery?
Sue