As in any field, there will be some docs who perform the full spectrum of surgical procedures and other docs who don't. Sometiimes it's related to your training, sometimes it's related to your skills, sometimes it's related to your comfort level, sometimes it's related to your geographic area, etc.
The majority of the programs today should train you in the majority of the procedures above. Some will not have experience with all the procedures and some will have experience with additional procedures not listed above. There are differences in residency training, and that is also true in other fields.
A fellowship is not necessarily a "must" to perform these procedures. A fellowship can be used to increase your skill amd knowledge in an area that may have been weak in your training, or it can augment what you've already learned or it can be very sub-specialized such as trauma,,sports medicine or other areas.
What I do in practice has no reflection on what you or other docs do in practice. There are procedures I choose to no longer perform simply because I don't want to at this point in my career. There are procedures I perform more regularly because "like refers like" and I receive a lot of referrals from satisfied patients. I do not perform pediatric reconstructive surgery because my training did not give me exposure to this area, so I believe it's in the patient's best interest to have someone with more experience in this area perform the surgery.
Just one small recommendation. Your last line said "Do explain". In ANY form of communication, it's always appropriate to say "thanks" prior to asking additional information when someone responds, and it's always appropriate to make a request, not a demand. For example, instead of DO explain, "I'd appreciate if you'd explain" or "please explain", somehow sounds better in my opinion. I understand this is the Internet, etc, etc., but it is a good habit for the future.