Yes the cost will increase quickly, but for most insurance companies you'd be looking at costs in excess of 60% (some work on 67%) of the current market value of the car. You have plenty of room for the costs to add up... In spite of what you might think the majority of insurance companies make losses underwriting motor insurance policies and they are therefore even more careful about what they write-off...
I'm not sure I'd want it back either but unless it is touch and go with respect to write-off, your preference for whether you want it back or not is not really a factor.
I differ from you in suspecting that there is no serious structural damage (based on the footage, only) and on that basis, I'd expect them the car to be repaired