Not really? Both concussions and anesthesia cause drowsiness, but not in the same way. They are very different and people behave differently. With anesthesia, you can’t resist falling asleep, even if you can be woken up (like in your personal story), you are not voluntarily going back to sleep. Sleeping after surgery is very common, because anesthesia, even after it “wears off” causes extreme drowsiness. In contrast, concussions cause fatigue in the way a migraine causes fatigue. You really want to sleep and you’ll feel better if you sleep, but you can fight it and you are choosing to sleep. However, if the MC is being transported by medical professionals, they will wake her up every 2 minutes to make sure she’s not involuntarily sleeping/unconscious (which can be caused by a brain bleed, but never by concussions). Basically we keep people awake after head trauma, in order to assess whether they have just a concussion or a hemorrhagic stroke. Sleep does not worsen concussions or strokes, it is not dangerous, it just makes it difficult to distinguish between the two conditions.
You mention a couple of other things above that are related but do not occur or resolve at the same time… usually. Forgetfulness for example, following a concussion you will have memory loss of the seconds to minutes prior to and immediately after the trauma. In contrast, you can remain confused for minutes to hours, but most people realize they are confused and remember being confused. Again, this is usually very, very mild confusion, like the inability to pay attention to instructions or remember random words that the nurse tells you to remember. People feel sluggish or slow, less “sharp” or less motivated to do things (like talk). You probably won’t feel better until you go to sleep, and you’ll want to sleep, but you’re still in control and remember it. There isn’t this “lowered inhibition” like with drugs where people say wildly inappropriate or random things or act “loopy” and then don’t remember any of it.
But as always, in your world anything can happen and even in this world anything can happen. What I describe is norms and trends, but unexplainable stuff happens all the time when you work in medicine. So if your story falls apart if your MC isn’t unconscious, do what you want and forget reality. I’ve come to realize that unconsciousness is something that is nearly impossible to accurately depict in media, because stories so often require the MC or fodder cannon to be forcefully taken out of a situation temporarily. But unconsciousness, true unconsciousness where you can’t be woken up even if someone causes you pain, is always a sign of serious, long term damage to the brain.