I've had electric push mowers for many years without problems. Last year I replaced my first since technology has improved over the years and they are lighter and more powerful. I took the old one to Goodwill and they were happy to get it. I'm not sure what item your equipment dealer is talking about, but electric mowers are as common as gas at the local big box and only slightly more expensive, depending on brand and features. Not having to mess with gas and the fumes is worth the extra hundred bucks or so more to me. I also have an electric snow blower. It's quite functional, but in this case probably not as powerful as gas in big snows, like over a foot. I bought it to use during a surgery recovery and it did fine, but as long as I'm healthy would just as soon shovel.
I also have a battery powered electric weed eater, hedge trimmer, and leaf blower. They all do the job fine for my residential house and none have had problems. They are probably not suitable for commercial jobs. Just like cars I imagine the batteries do wear out and can be expensive. I've just not had that happen so far.