What claims are you saying are BS? I don't see anything unreasonable in their description.
They state: "can reliably charge your smartphone in about 2.5 hours on a sunny day. That’s about the same as a wall charger."
They have a 5W panel. A typical wall charger is 5W (5V, 1A), but of course they need to regulate the output of the solar panel so there will be some conversion loss.
Okay, let's say a typical phone has a 2,500mAh battery. That's actually a bit small for a premium phone, but let's say its an average. That's 9.5Wh. So under absolutely ideal conditions they might be able to charge a phone in 2.5 hours, assuming it was turned off while charging and had an extremely efficient charging system. But realistically, even on a sunny day with the user carefully tracking the sun by hand it isn't going to happen. Their photos even show the device installed vertically.
They later go on to clarify:
"In bright sunlight, the 5 watt charger can fully charge an iPhone 6 in about 2.5 hours, which is similar to a wall charger."
The iPhone 6 has a 6.9 Wh battery, not 9.5 (BTW - what phone on earth has a 9.5 Wh battery? Unless by "premium phone" you mean one of those ridiculous phablet things...). Under ideal conditions that could charge it in 1.5 hours. 2.5 hours is perfectly reasonable once you take into account idle current draw and inefficiencies.
If they were honest about the capabilities it would be fine. If the phone is powered up then a 50% charge in 5 hours under good conditions might be possible. It's certainly nowhere near a wall charger.
They are being honest about the capabilities. Under good conditions it can output 5W, that's the same as a 1A wall charger, which many phones come with. It's not any more complicated than that. A 1A charger can certainly charge my phone in under 2.5 hours, as long as their 5w panel can actually do 5w under ideal conditions, I see no problem with their claims.
As others have mentioned, most phones don't like constantly varying amounts of current from the charger either, and they don't appear to have a battery or supercap for smoothing. They even state that the charger will automatically reset itself when a cloud goes over... Hardly ideal.
Who ever said this was the ideal solar phone charger??? They didn't and nobody here did, except you. You're just nitpicking now...