What matters to the bean counters is if it can be done without expensing something new, everything else be damned. Unless you can get a clear, popular government mandate to spend money to make things more efficient, this is not a palatable solution.
Given how large refactors tend to go in general, this also doesn't necessarily lead to good outcomes; even with a relatively technocratic administration led by Mike Bloomberg (relative to comparable mayors, at least), upgrading NYC's 911 system massively spun out of control: https://www.nydailynews.com/new-york/911-overhaul-2b-disaste...
Given how large refactors tend to go in general, this also doesn't necessarily lead to good outcomes; even with a relatively technocratic administration led by Mike Bloomberg (relative to comparable mayors, at least), upgrading NYC's 911 system massively spun out of control: https://www.nydailynews.com/new-york/911-overhaul-2b-disaste...