From the picture you show, it is not immediately obvious what your concern is with the simulated treatment result. Try to be as specific as you can be in addressing your concern with your doctor, so he can take it into account for the refinement phase. Several factors besides alignment affect...
Insurance companies have their own rules and change them all the time. Any questions with those are up to them. The fee to the dentist is what it is, regardless of insurance input, whether they pay or not. You are fortunate to have insurance assistance at ALL for orthdontics.
The Clincheck software is available only to approved providers. Your provider can email you what Invisalign calls a video - it is a low-res version of your Clincheck that has fewer options for interaction.