That's probably the best use of your time at this point given what your case appears to be..
Loss and damage issues are very well addressed by rules or contract, but delayed bags are just not something that has the same level of legal/contractual protections.. I suspect that this is rooted in the fact that you can't establish a firm, objective economic value on ones time, level of inconvenience or embarrassment...
Perhaps in time that will change as the regulatory tide is constantly shifting relative to the conditions at that time, and other societal and political realities.
If you do want to pursue it, I'd do it after vacation; and ask for something that has a low(er)-cost to the carrier, but can be of value to you-- like a travel credit or mileage..
both of these can be of value to you, but have a low(er) cost to the carrier than cash, which is the most expensive form of compensation. Miles and travel credits have a rather low "cost" to the carriers, while cash is of course a $1:$1 proposition.
This makes it 'easier' for the carrier to approve your discretionary request as their cost to meet your request is low..