Very little tax money is spent on the officers attending the funerals. Most of the expenses are absorbed by unions, fraternal organizations, charities and the officers themselves. The PD's that do pay the expenses , which are typically small because it is usually in the same state, use less than 1% of the operating budget. So it is not having any kind of impact on their ability to fight crime etc.
I am sorry if you don't want to have one penny spent where you think it shouldn't be spent. But you are not in charge of the budget and the allocation. And if the chief and commissioner feel it is important to pay their respect to another Department in their time of need then they will do so. It is an important part of their job, to elevate morale, increase the connections and working relationships with other departments, and make a public statement of support. So it is a function of their job.
Every single penny has an impact. Have you ever even been part of a city budget meeting? Do you understand that every single taxpayer is in charge of the budget? There are no magic fairies who dole out money to these departments.
This is a forum about criminal investigations. We scream and cry when we can't get DNA tested or there isn't someone to open a file because they don't have the manpower. Every single penny matters.
I don't give a fig if the chief thinks it is important for moral or whatever. This isn't his call. He is to do the job the tax-payers have hired him to do and nothing more.