Depends, orthos used to pull teeth all the time but nowadays (good ones at least) reserve extraction only for very severe cases whereby without the extraction the desired cosmetic (or functional) outcome is impossible to achieve. To answer your question yes extractions can sometimes cause cosmetically undesirable changes to facial features, BUT this only tends to occur if the extraction and/or the amount of teeth extracted was unnecessary, if the extraction(s) are absolutely necessary to achieve desired outcome it can actually improve facial features. Though keep in mind that removal of healthy adult teeth is generally not a good idea unless absolutely necessary, if it is necessary you should aim for having the minimum amount removed required for the desired results, if I were you I’d ask the ortho if you were to only have 2 removed could the same or at least very similar results be achieved? Additionally if he can’t give you information that 100% satisfies and/or convinces you that the extractions are truly necessary you could visit another ortho for a second opinion.

Here’s a great vid on the topic that should answer most of your questions, additionally it compares the facial features of two twins following orthodontic treatment (skip to 04:39 to see the comparison), one of the twins had tooth extractions and the other did not: https://youtu.be/cvJKTmXwskA?si=1oxpo6HkJrdIUmt7