"We got stopped from closing down the outers on the taxi-in".
Point out to the management that not shutting down the outers on the taxi-in increases the fuel bill by about 50 kgs per sector. Multiply the number of sectors flown per day by the number of aircraft in the fleet and the extra fuel burnt in a year is very considerable.
As you say, it also increases brake and tyre wear.
Your company obviously has money to burn!