My first month of surgery was similar. It was at a site with residents and I barely interacted with the attending, he would show up for the surgery and pretty much ignore us 99% of the time and then leave when it was time to close until the next case. He had a first assist and an NP who would usually have priority for driving the camera or closing even above the resident lol. I just tried to follow the resident most of the time because I felt it would be more beneficial to see what a resident does than necessarily get to do much in the OR, especially since I'm not at all interested in surgery. I think the biggest problem with the rotation was the lack of structure, it seemed like no one knew what to do with us and we were constantly asking when/where we should be. We attended didactics but rounding was optional since the residents said they weren't told what they were supposed to do with us. It ended up being okay overall because there were a few residents who really liked teaching and took their time to work with us if we asked (one took us to their lab to teach us to suture etc). Eventually, these residents advocated for us in the OR and we were able to drive the camera a few times and be more involved in the OR. On clinic days we would take the HPI and then present to the attendings, but most patients are referred to GS after already having been diagnosed so there really wasn't much to do besides see if they would be a good fit for surgery.
I think SDN likes to focus too much on the importance of rounding/presenting/etc. I 100% think it's very important, and it's why I pushed to attend rounds and be more involved on this rotation since I had the opportunity to work with residents. But as long as you manage to get exposure to that at some point in 3rd year, I think you'll be fine. Like you said, you're using Dorian, so you're learning all about management and things like that. It's not like you're just sitting back chilling and doing nothing on rotation and then going home and doing the bare minimum. Just be more proactive about your learning-- even if I'm not directly asked "pimp" questions on my rotations, I try to think to myself what I think is going on, what I would do next, etc. I think surgery overall is just a crappy rotation for most med students because there's not much for us to do. Regardless, our school gives so much 4th year flexibility that you'll definitely be able to get solid rotations then if you find your 3rd year rotations never gave you the opportunity to round/present. I think you'll be fine, it's just imposter syndrome (I know I majorly have it lol)