In regards to the "tablet optimized apps" discussion, it's being made out to be a much larger issue than it really is. For someone to dismiss the tablet altogether over the lack of apps that are optimized for tablet use is pretty ridiculous (in my opinion). Facebook - Alright, so the first-party client doesn't function all that well on an Android tablet. It scales up images and all, making it a bit of an eyesore. Yeah? That was the problem, right? Friendcaster, which is far, far better than the actual first-party app is tablet-optimized. I had a few problems with it when I had first got my Nexus 10 (Facebook updated its SDK, as far as I know - causing many users to be rejected due to incompatibility). It's been updated, works fine for me. I say it's better than the iPad/Android (tablet optimized or not) app. I fear your friends jumped the gun, in regards to dismissing it due to lack of first party support from developers. Android is about customization - you poke and look around for apps that work for you. Trading the Nexus 10 in due to this is simple foolhardiness.
Its rebooting? I've had my Nexus 10 since the 17th of December - 0 reboots. I've manually rebooted it twice and turned it off for a few days as I was away from home (and wouldn't be around to use it, obviously). I've had a max uptime of 8 days and about 6 hours - this is when I turned it off. I have had Location Services turned on, use NFC constantly to move things back and forth between my N10 and S3. Yes, I acknowledge some users got the blunt end and have problems with restarting/locking up. In my personal experience, I haven't had these issues. I've stayed away from Chrome - using Dolphin (with Jetpack) instead. Again, it's all about finding "what works for you". That's the thing about the Android environment. It's focus is customization. I'm not saying that you find what -works- and makes it function. Rather, I'm saying that you have to find what apps you want to use, what widgets you want to use, what custom ROM (if that's your thing), and everything else (on mobiles you can dwell all the way down into Radios/PRL files/etc).
iOS is locked into the environment that they supply to you; that's that. To come onto a forum dedicated to Android users and compliment Apple's iOS is pretty silly - you were bound to be flamed/trolled. Yes, many people will accept that there aren't as many optimized apps for tablets. But you have to take in consideration that the Nexus 7 and 10 are Google's first "attack" on the tablet market. Until then, it was all third-party manufacturers without Google's support making tablets. Developers will create tablet-supported apps for Android. Google will fix common issues. Apple had similar issues when they first moved into the tablet realm; using even worse techniques to scale up the current mobile apps, even. The first gen iPad had a lot of issues, very similar to the ones you're having with the Nexus 10. You're simply basing the fact that Android tablets have been around for a while as means for complaint against the amount of optimized applications. Apple has had four generations (mini excluded) to work out the kinks in their tablets. This is first gen from Google.
This is not to say that the Nexus 10 isn't freakin' incredible. My personal experience has been more than accommodating and positive. I watch Netflix, Crunchyroll, use TeamViewer to do on-the-fly remote assistance, Teamspeak for talking to my GW2 guild buddies, and play various games for hours on end. In the end, I would still recommend the Nexus 10 to anyone who wants a solid tablet that's beautiful, high resolution, and lightning quick.