How does Qualcomm not suck? Their chips were pathetic garbage in 2015 and in 2016 they still got smoked by Samsung/Apple. See link above for proof on the 2016 chip
Google already makes their own chips for their servers and were rumored to be hiring for chip development in mobile as well.
The 810 & 808 I don't really hold against them, Apple pivoted the entire industry on 64bit - suddenly OEMs are demanding you have a 64bit capable cpu and Qualcomm's was not ready if anything it was a feat in itself to get those 2 chips out of the door. Inevitably though as with most things that are rushed you screw something up. In addition ARM themselves with the A73 (& A72 to an extent) indicated that they (ARM) made a mistake in trying to design 1 chip to straddle both servers and phones. Hence the focus on A72 and A73 on perf/mm2 and the existence of the upcoming ARM server chip.
As for the 820 I think us Android users need to bear the following in mind
1. Apple don't really compete in the same market as most Android manufacturers excepts Samsung in the premium segment and no one else when you are talking about the standard iPhone x(s). Apples CPU cores are a lot larger than either Qualcomm or ARM cores. Apple is able to do this as they are in the premium segment of hardware and will also recoup revenue via iTunes, music, Books all the other software add ons Android OEMs will never see. So they are selling the Apple "experience" other Android OEMs cant afford to be using very large cores they have costs to worry about I think thats why Qualcomm is not going there. One of Huawei's directors mentioned something to that effect when asked why they went with Mali 880MP4 only and not MP8 or MP12. He said reasons were a - customers are not usually GPU bound and b - cost.
2. 820 unfortunately may be another botched design / implementation - apparently it has an L3 cache on shipping processors which is disabled for unknown reasons, I think they have left some performance on the table.
After seeing the benches of the A72 powered Huawei P9 I asked Andrei Frumusanu of Anandtech how come on his opinion of the A72 vs 820 vs 8890 his response was it appears to be more software optimisation that made the Kirin 950(A72) win. Other Android oem's were just not optimising software that aggresively - this is another advantage Apple has over everyone else. Would not surprise me if Samsungs 8890 implementations were better tuned to their software too. Andrei mentioned that both the 8890 and 820 were not appreciably distinguishable from the A72 in terms of power or efficiency - most anticipated article this year hands down for me is the upcoming 820 deep dive article from Ananadtech.
If Google make a high end chip they would have to achieve decent volume on Nexus hardware to see any kind of return on the cost - increasing Nexus volumes will piss off oems. Google's server chips were I believe specialist network orientated chips - though I would have to look again.
If they move away from Qualcomm and design their own SoC's similarly to what Apple does they could better optimize the hardware with their software which could lead to more efficiency for their own devices. It isn't that hard to believe given that Samsung makes their own chips and it was rumored LG would begin exploring that process last year when the 810 bombed. If Qualcomm screws up it seriously cripples a phone manufacturer so it would make sense company's might want to move away from them.
Also we've seen through benchmarks that Samsung's own Exynos 8890 beats the 820 in various benchmarks and either matches or loses slightly in others. Also, as the link Jigolo posted above shows the battery life with the Exynos is MUCH better because it is more efficient.
Definitely agree on the optimisation front but as I said above it will royally piss off a lot of oems - second is Google really a hardware company designing you own SoC is a significant cost. Apple is able to get away with it as they look to be quite tightly integrated. Samsung is a lot larger and more capable than most Android oems they can afford to do such things to keep up. LG did ship a custom SoC it was called Orion it made it into some low end devices and promptly disappeared.
I think Samsung is in a different place to other Android oems they are pushing to innovate and stay ahead of the curve which is why I view them as Apples only competitor in the Android world. From Edge screens, Galaxy Note, Samsung pay (bigger than Android Pay?), UFS 2.0, Gear VR, S Health etc Samsung is attempting to keep up with Apple no one else in the Android world is even close. If Google design a chip they would have to supply it to everyone and more than likely optimise around it to help other oems out - Google would have to become a hardware company or risk bifurcating android with Googles version and oems version a step behind struggling to keep up if they kept the chip and associated optimisations to themselves - which is what Samsung has done with the 8890.
8890 might just be better optimised - Anand before he went to work for Apple once mentioned that Samsung and Qualcomm used to release their own verions of the Chrome library optimised for their chips.