LLVs are currently horrendously inefficient (fleet average of about 9mpg). They have a ~13 gallon tank for a range of about 120 miles. They drive about 18 miles a day on average (total fleet average, so some are idle and probably the typical route is 45 miles, but 18 miles is good for our purposes) and burn 2 gallons of gas. At $3/gallon, that's about $6 a day in fuel costs (and let's ignore brakes and oil changes). We could put a 75kWh battery in that thing, easily get 250 mile range (double the range of what the LLV is). For an efficiency of about 3.33 miles per kWh, and an average commercial electricity price of 11 cents per kWh, that's 59 cents per day in electricity cost. So every day, the electric one would save $5.40 in fuel costs (net).
Even with that generous 75kWh battery, you're talking just 6 years for it to pay for the electric battery to pay for itself in fuel costs vs the old vehicle. And these things are designed to last for multiple decades, plus this will drastically reduce oil changes and brake servicing costs. Are they really that cash strapped they'll ignore something that can save them that much? The US federal government definitely isn't strapped for cash. Does this really boil down to punitive fiscal requirements for the USPS put on by Congress and DeJoy? Because if so, that's inexcusable.
Or perhaps no one bid a competitively low price for an electric powertrain?