Basically, you are saying you don't want to second guess the doctor's (angle classification). But when you ask; 'Do I have a class 2 bite?', you're asking others to. What I can tell you is why it's hard to pin point the class either by APPROXIMATING the angle measures or just looking at it visually.
Based on one of the angle (ANB) measures they look at to determine class pattern, it's too close for me to call the class. That's because I approximate the landmarks and hold a handheld protractor to the screen. When it's not actually a ceph that also shows the soft tissue orientation, the error range gets higher. For example, an ANB measure of 2 degrees is within the norm to call class I and an ANB measure more than 4 degrees is within the norm of class 2. So, if I do an angle measure by APPROXIMATING the landmark point for the angle on an X ray that is not really a ceph showing soft tissue orientation and my error range is 3 degrees and I measure an ANB angle on it, the angle I measure needs to exceed my error range to call the class.
Let's say, I approximated an angle measure of 8 degrees on an X ray (someone else's). A 3 degree range of error would kick up 3 possibilities of: 8 degrees, 5 degrees and 11 degrees. In that case, it doesn't matter which one it is to assign the class because all are class 2 ANB angles when the error range is factored in. Also, someone would be able to see the X ray LOOKED LIKE Class 2 even if they didn't measure the angles. So, when the angle measured EXCEEDS the possible range of error and all the possibilities are within the class range, it's more straight forward to call a class 2 and SEE it on the X ray.
So, in your case, you're not seeing a large enough angle that LOOKS LIKE or is an obvious class two. Fair enough, the class 2 isn't obvious in your case when you VISUALLY APPROXIMATE what a class 2 looks like.
In your case, my error range EXCEEDED the ANB angle I measured (approximated). I approximated about a 2 degree angle. But factoring in an error range of 3 deg, the correct angle could range from 2 degrees, 5 degrees and negative 1 degrees. So, if the correct one is 2 degrees, then it's class 1. If the correct one is 5 degrees, then it's class 2 and if the correct one is negative 1 degree, then it's class 3. So, I can't call the class in your case in the way I approximate. However, even though I'm approximating angles, what my error range CONFIRMS is WHY the Class 2 isn't visually obvious on the X ray. So, I understand why it doesn't look like a class 2. There are 3 possibilities and one of them is class 2.
Another GLITCH here in terms of angles is that a ceph gives more information than the X ray here. There's another landmark point; 'S' (sella) that a ceph shows which is needed for angle measures SNA and SNB which is another reason I can't target your class. However the salient focus point here is the doctor's observations of an upper midface deformity and also double jaw recession.
Now, as to the doctor's write up, it is very patient or layperson friendly and explanatory. Furthermore he's proposing to correct a MIDFACE DEFORMITY which is much more important to focus on rather than what the angle classification is. The fact that he's doing a HIGH Lefort (bringing forward your UNDER EYEBONE area) and also proposing to augment further with with hydroxyapatite ('bone paste') means he is meaning to correct a pretty salient midface deformity in addition to balancing both jaws and the bite.
Now I have some QUESTIONS to YOU.
1: Were you a MINOR (under 18) when you consulted. Or was approval from a guardian needed even if you were over 18?
2: Were you wanting INSURANCE to pay for the surgery?
Looks to me that he was a GOOD GUY wanting to HELP you with a pretty salient midface deformity and double jaw recession and needing a party other than you to approve and/or pay for it.