if you look at that pictures solar panel it looks a 5 panel which to scale would be panels of 40W-50W. If you do the math that would suggest it would take 7 to 9 days to recharge the Powerhouse off solar with a panel that small.
I also see its a 12V input so that would mean about 3A so you'd lose 10% of the energy per 3 feet of cable.
You then have the problem of solar and batteries next to each other that a battery ages faster when kept hot so if you left it in a sun a $400 Powerhouse which has no servicable parts will age faster. Usually solar which charge batteries either have a microinverter per panel or are 24V to reduce the amps and so cable losses with cable distance, and then the battery is distant in a cooler location than the solar panel.
You also obviously have the losses of using solar to charge batteries which then go through an inverter to charge other devices, usually about 30% loss.
Have you done any maths on efficiency, weight, costs, volts, cable losses, heat? I mentioned the above video which is a 8 part tutorial so you may come to a different conclusion.
I am actually trying to be helpful but rather than offer opinions I point to the underlying physics and maths so you can form your own conclusions.