Front Windshield Replacement - ADAS Calibration

The camera must be recalibrated after any glass replacement as the refraction qualities and patterns will be different for every piece of glass. Yes, the camera may see through the glass without errors, but it may not be seeing the correct image until calibrated. Sort of like an eyeglass prescription, each piece of glass is different.
As for the seal, unless it is factory glass set in by the robot it likely won't fit the same way. That said it looks like it is sealed okay, the trim itself can leak moisture behind it, that is why it is actually open on both ends at the bottom so that moisture can get out. That would be your choice, but the camera needs calibration.

The insurance companies would have that information, not something shops would normally be involved with. I'm just going on the service information and ADAS requirements for windshield replacements. They all say the system has to be re calibrated due to the changes in the glass.

Depends on the dealership. Normally the service writer drops a work slip in the techs slot, Tech does what it says and writes up a report with all that was done and any parts, supplies used. That gets turned over to the service writer who then files the paperwork and prints an invoice to give to the front who prints a receipt. I have seen tickets written out with 3-4 pages of testing and repairs for something like a major engine issue like timing chains and cams and on the invoice, it would say something like "Addressed customers complaint, repaired as per bulletin # XXXXXXXX" Then a list of the parts and warranty info.
For something like an ADAS calibration the tech likely wrote out the calibration system used, any faults found and the time it took to calibrate the system. The SW then just said "ADAS calibration per customer request" It can be frustrating on both sides depending on the writer. Some are great and will ask all the right questions about a complaint, others will jot down "Customer states car has a noise when going over bumps"
Sounds like the one you got is one of the latter types.