TL/DR: there is no way this abomination is certified to any of the usual standards like UL. If a device that requires Earth is plugged into that, it won't be safe. If they ignore such basic safety features as proper Earthing, I wouldn't trust the device to not catch fire on its own or zap an expensive phone connected to the USB port. This natural selection device has a picture of a hair curling iron and an electric toothbrush on it, which means it'll end between a hotel bathroom sink and a shower, it is full of holes for water to get in, and it is not earthed.
Besides standardization and cost savings, a very important feature of IEC 60320 connectors is to make unsafe combinations impossible while making safe combinations foolproof and simple.
Basically, if it plugs, then it's safe.
For example, if you take the power cord of a desktop PC, which will have the C13 connector, it will plug into an appliance that has a C18 inlet without Earth. In this case, the appliance doesn't need the Earth pin, but it allows you to use a cord with Earth, because that's safe. However, a C17 cord (without Earth) will not plug into a C14 inlet because the C17 cord has no hole for the Earth pin. So you can't have the unsafe combination of an appliance that requires Earth being used with a cord that doesn't provide Earth.
Likewise, C15 and C15A have a different shape so you can't use the cord from your PC on an electric kettle, because the connector would melt. But the high-temperature connector can plug both into the kettle and a standard C13 inlet.
These "cloverleaf" connectors are the lower-current versions, which allows thinner, cheaper, lighter cables. They're also smaller, which is nice to make laptop chargers small. They have a different shape than those above to prevent the low-current cable being used on an appliance that requires higher current:
The cord with Earth can be used with an appliance that does not requires Earth, but not the other way around. Now, the electronic transformer uses a C6 inlet, which means it requires Earth. It has an Earth pin inside.
The device outputs also provide Earth, which means they can be used with devices that require Earth.
I wouldn't bet that the Earth pins of the output sockets are actually connected inside to the Earth pin of the power inlet. You might want to check this.
Also the picture of the hairdryer and clothes iron have an extremely tiny gray "X" in the corner, probably means you're not supposed to use it, terrible graphic design... I guess red paint costs extra, like an earthed cord, too expensive!
Now this is the abomination:
This cord has a C5 connector on the appliance side, so it should have a three prong earthed socket at the end. It doesn't, which makes the whole combination unsafe.
The international adapters provided with it don't have Earth anyway.
But... is this a problem with the manufacturer "BESTEK" or did the reseller just buy the devices and package a cheaper power cord? This other product provides an answer:
It has an unearthed EU plug... but on the other side, it allows the user to plug in a device that requires Earth:
It should have this instead:
So the brand is junk.