Sounds like a good way to get yourself audited

Is there such a thing as diminished value?  ABSOLUTELY YES.  Given two
identical cars, one wrecked, one not, which would you pay more for?

Will you get it from an insurance carrier?  NOT EASILY.  THEY WILL
DENY IT EXISTS. THEY WILL ALSO DENY THAT YOU HAVE SUSTAINED SUCH
LOSS.  They will tell you if you're not happy with the repair, to take
the car back to the repair person you chose and take it up with them.

How do I pursue it?  HIRE AN EXPERT WITNESS.  THEN, SUE THEM.  IT WILL
PROBABLY TAKE THAT MUCH TO EVEN GET THEIR ATTENTION.  Typical
diminished value is 5 to 20% even if the car is fixed pretty well.
Late model cars sustain more diminished value (higher percentage of
value) than older cars.  Bigger repair bills diminish the value more
than little ones.  Frame rail damage causes more diminished value than
replacing a fender or door skin.  Is it worth the whole hassle?  No.
That's why they get away with it.  Some areas have local appraisers
that will sell you a diminished value report for around $100.  The
honest ones will admit that the insurer frequently poo-poos their
report and will not accept it.  Your appraiser must be able to testify
convincingly about his qualifications and your damages, in court, once
your case is heard -- you do have a year or two to pursue this, don't
you?  And your adjuster-witness will be on the hourly clock probably
for most of a day at least.  Witness retainer up front, please.  Like
$500.

The reality is, if you have a luxury car that is wrecked one inch from
being totalled, then hire a lawyer to pursue diminished value.
Otherwise, it is  not indemnification that the little guy is
"entitled" to as far as Big Insurance is concerned.

It can be done.
I had an '89 Mazda in good gondition that was totaled be a rear end
collision.  THe car was still drivable and the only dammage was
cosmetic.  Because of the age of the car, they wanted to total the
car.  I told them I wanted to keep using it.  So they paid the
Blue Book value and I got a salvage license for the car.