True, and it generally has better amenities than a hotel too: a kitchen (though tiny), fridge, microwave, stove (no oven though), clothes washer, maybe a vacuum, etc. Also importantly, a mailbox, so you can receive deliveries (and in newer places, there's an automated delivery box system).
Those are "grills". If you want to bake stuff, you can get real ovens, but they're fairly small, and not built into the apartment, and usually combined with a microwave oven. Any decent appliance store sells them for around 30,000 yen. You're not going to cook a turkey in it, but if you want to bake a small cake it's perfect.
Yes, they are meant for grilling fish but they can be the world's tiniest oven if you believe enough(or just use a thermometer probe for temperature adjustment!)
My recollection of the countertop oven is that it would fit half a small size turkey...for we did do that one year.
Yes, unlike Americans who apparently absolutely need to bake a whole turkey on a regular basis, Japanese don't normally bake stuff at home, so Japanese homes (at least in the big cities) don't normally come with built-in ovens. There's no space in Tokyo apartments for the comically-large ovens that are common in America, and the cuisine people make here doesn't normally need one, just a stovetop. For baked goods, people usually just buy them at the grocery store or bakery or other specialty shop.
