I'm currently around fork trucks all day long. 100% propane.
You might be referring to what box stores is called an electric stair, used in ware houses and big box stores.
An electric fork lift has been tried and found to be wanting. They don't have sufficient lift/weight ratio capacity, and are constantly down for recharging.
Between 1981 and 1983 I worked in a warehouse (Sweetheart Cup Corp. in Chicago) driving an electric forklift moving product from production lines to the warehouse & onto shipping platforms. In an 8 hour shift, I'd have to get the battery changed out two, often three times. That was 15 minutes of downtime everytime the battery had to be swapped. On an 8 hour shift, that could've easily been 45+ minutes of time wasted.
Your point's 100% valid except for one small correction: a fully charged battery in an electric forklift can lift as much as a propane forklift. The battery adds an awful lot of weight to the vehicle. The problem of electric vs. propane is actual run-time, that's where propane excels.
I've used them as well as gasoline and propane models.
{don't like the propane stink though.]....ha