My 8yo son had his own ipod when he was little. It was free / a hand me down. GREAT for keeping his music separate from ours. (We have eclectic tastes; from Voigner to Marilyn Manson to Trace Adkins to Nina Simone to Greenday to Snoop to Crystal Method, etc.) He still has it 5 or 6 years later. Sturdy thing. In fact, he's listening to it right now ... bedtime music.
More on the electronics... he got his first digital camera when he was 3 or 4 ... can't remember at the moment (I think the ipod was 2ish, may have been 3). Nikon Coolpix. Same thing... for we got it on sale (xmas sale) for less than "kids" cameras, and it's a GOOD camera. 4 or 5 years later it's still going strong. And he's taken thousands of pictures with it. Several hundred that are very good.
My son takes care of his things. We taught him proper use of small electronics the same way parents teach their children not to put PB&J sammies in the VCR/DVD, or kick them, or whatever. Sure they get dropped from time to time... heck... as an adult *I* drop them from time to time. But years down the road they are still completely functional, used frequently if not daily, and in part because he got them young, he's not OBSESSED with them the way many kids/teens are when they first get their own. He looks at his friends (and friend's older siblings) all geeked out about the _________ (or the newer, shinier, whatever _____) and looks at them like they're insane. Electronics have rules, and they're tools, not some kind of holy grail or right of passage. That was a totally unintentional side effect, but I really like it.
I can see if you're not into photography or music that you wouldn't necessarily teach your children to be. But for our family music and photography and languages and books and computers and sports are a way of life. I'd much rather have kiddo shooting his own $200 camera we paid $50 for than begging to use my 2 thousand dollar camera. I'd rather he dock his ipod and listen to "approved" music than try and find his music in mine and stumble across some lyrically challenged punk rock. For the same reason, he doesn't touch his father's guitars without asking (one of the least expensive being $3k), but he can grab his own hand-me-down (aka free) strat whenever he feels like.
We're not wealthy people, but we do have expensive things that we've worked hard for and saved for and have collected over time. Allowing our son to have free/ hand-me-down/ inexpensive versions of what we, his parents, use isn't "over the top" it's normal. It's also fun. I don't have to tell him "go play, mommy's shooting"... he can choose to shoot right along with me or go play if he wants to. Just like reading. I can sit on the couch and read a book, and so can he. Kids copy their parents. They WANT to, it's wired in them.
Also, the idea that if a child is interested in "things with batteries" they won't be interested in anything else is insane. I mean... we ALL know the parents who turn on the TV and plop their kids in front of it and that's ALL the kids will do... but that's a parenting issue. You set rules & limits & kids follow them. They push boundaries (whether it's how far they ride their bike, or how loud they can turn on music), that's normal kid stuff. You just PARENT and keep your boundaries firmly in place until it's time to adjust them. My son (and many other children I know) are surrounded by electronics. They ride bikes, swim, climb trees. They're not CHAINED to their electronics. They have rich and full lives. Because they have parents who care, they aren't plugged in (or left outside) all day but are taught balance.
Just because it doesn't make sense in your own family, doesn't mean it doesn't make sense in other people's families.