True, but it is limited to 150 watts on the AC output. The Yeti is twice that or more. There's a video on youtube of guy attempting to run a laptop off the Powerhouse and it has to shut down after 2 minutes due to the puny inverter.
Another deal breaker is lack of chaining ability. With the Yeti you're able to chain together two Yeti 400s or simply add another battery using the Anderson Power Pole connections. Effectively, you can double your storage capacity by purchasing an additional AGM battery for $60ish or triple it for $120 at which point you'd still have paid less than the Powerhouse.
Additionally, the battery in the Yeti is user serviceable/replaceable. If it fails, you replace it and go on your way. When the Powerhouse fails that's it. It is not user serviceable and the unit is effectively trash.
Finally, if you are looking to charge the Powerhouse via solar...you can't. Anker hasn't released a compatible solar panel nor have they developed converters for use with traditional panels that use standard MC4 connections. Based on its input specs it's pretty safe to say the Anker is basically a toy in terms of its future solar charging potential.
With the Yeti there are plenty of Goal Zero brand solar panel options, and if you want to run common (and cheaper, more powerful) panels there's a $15 cord that gets you there. At that point you could hook up a couple 100 watt solar panels and charge the unit in under 5 hours (faster than using a Goal zero wall charger...twice as fast as using an Anker wall charger).
TLDR: Anker blew their wad on the more expensive lithium battery (which is lighter and the wave of the future), but in an attempt to keep the price competitive they surrounded it with sub-par components and provided pretty much zero ability to step outside their tiny ecosystem.