Eh...no. Sony is a consumer electronics and media company. making the Playstation (consumer electronics) and gaming (media) very core to their business. 

MS is morphing into a services company, something with increasingly distances Xbox from MS's core focus. 

It could be argued Xbox was always just a means of pushing their software and services.

Xbox is something MS does to appeal to certain markets, but its not a big focus to them for financial reasons.

And some people still don't think that their end goal is a cloud console....

personal opinion..
xbox isn't core to their business, but one would think it's an integral component to their core business. from what it sounds/seems like, the xbox brand itself could be more marketable and profitable as something else other than as a console, for instance say if "xbox" shifted over to something like a mobile gaming platform/service for MS phones, tablets, windows, etc. that completely utilizes their cloud infrastructure. That could help drive up sales and market share for their core businesses more so than continue wasting/losing billions into a console market where they hardly profit enough to recoup costs. If the xbox console wasn't owned by MS, anyone seriously think the plug wouldn't of been pulled already? the brand itself is worth more than the product at this point.
If the focus of MS are shifted to mainly mobile-first and cloud-first from the present onward, then i doubt MS will ever release another physical xbox console. xbox of the future could likely be a gaming service.

No it isn't. The only people who believe that are gamers who don't know better

Game media is just selective with his comments. But in reality the whole context of what he is say is entirely different than what's being feed to us.

I think the lesson last gen was: when you hurt your competitor, you have to kill it and dominate. Sega hurted Nintendo with the Genesis but didn't managed to kill them and we know who is in the market today. MS managed to be competitive, but they never managed to be good enough to become leaders on the market like Sony and Nintendo did several times.

I think their original goal was the same as usual: have a Windows/MS device on peoples desks (PC), living room (XBox) and pockets (mobile). The last two never worked because there was other companies that were more competitive and adapted to this markets.

This. They recently hired a next generation xbox super dude, remember? Hope this classifies as internet "proof!"

Are they reading too much into it or not reading enough? 

Actually it is after the restruturaction Kaz made and he said it himself in several ocasions. Their core business are mobile, imaging technology, PS and maybe TV. It makes sense since they are an electronics company. All of these are electronic products. For MS, their core is software and services based around their softwares. So XBox wouldn't be a core part because it is a videogame, but you could argue that if it is running Windows and taking it to the living room it actually is. This depends on the companies point of view about it.

Anyway, not being part of your core doesn't make it won't get attention. It means that it's a big "maybe" and that's normal with CEO changes. The point here is that MS is becoming more business oriented than consumer oriented so they need to focus in this kind of thing.

Whoever is looking at this as doom is taking it too far.