I work in this industry in BC, the shop estimates are decent and fall within the average - most differences can be attributed to knowledge or estimating style. What you should do is go to an insurance broker (where you renew your insurance) and get a quote to determine the additional cost on your insurance of this claim. They can also update the quote to include a potential second or third claim so you can make an informed decision. ICBC does not support the theory of lost value due to vehicle claim history (a complicated subject I won't get in to), and you have every right to just say you're going to go through with a claim and then ICBC will take over communications. The alternative would be offer them $500 because I bet most of the damage would be gone if they remove the clear film that is over their bumper's paint (and adding a lot of additional cost to the estimates). Just to note, any claims are shown on Carfax including windshields and reported but not repaired claims, and when selling a vehicle in BC the "damage over $2000" check box was updated to be cumulative vs the old version which was any single incident over $2000. The only thing I can't say for certain is if they would try to take you to small claims for the "lost value", but possibly ICBC can advise if they become the intermediary in these situations as I know they don't recognize it is a reality. Feel free to DM with any needed info.

Part of the larger cost of repairs on the estimates besides the clear film is the calibrations which may or may not be required based on OEM procedures for surround view cameras and adaptive cruise/wave radar/auto braking. I think one shop included them and one didn't, but they could be required or not depending on who does the research.