Unbranded generic camera from China bought on eBay. That isn't even a gamble. That is a sure thing to disappoint.
First I don't see the point in most wireless cameras. Because they need to be powered anyway. So if you need to run a cable for power might as well just use an Ethernet powered camera. Some wireless cameras use a battery but then they either only record on motion detection and not 24 hours or they have to be taken down and recharged frequently.
As to how to determine if a camera can become a weather camera well it needs to be able to FTP or have an Http address. Or you have computer software running that does those functions and talks to the camera.
It is possible that the camera you mentioned will work. But I'd strongly recommend getting something better.
The point in a wireless camera would be if you wanted to use the camera at a location with no power outlet or ethernet access. Case in point, my vegetable garden which sits approximately 150' from my router. Currently I don't have a camera up and running, the old Logitech C920 with the Hubble Fix that recorded tens (hundreds?) of thousands of images of our little downtown area sits idle after the computer running it died. I would like to move it out here at the house but I really don't have a view that would be good...from the house.
What I would like to do is have one overlooking the garden...it would be a nice foreground scene (very seasonal!) and would have a decent sky scene. But, there is no a/c outlet within about...150'. BUT, I do have a 12v powered electric fence surrounding the garden. It runs off of a run-of-the-mill Wallyworld 24DCM battery. It is not a solar fence charger so I have been carrying it to the house about once a month and recharging it. I've got several 100w solar panels and a couple of controllers that I think I'll take advantage up and setup for keeping the battery charge...will only take a single panel. I've just gotta get off my bum and do it.
Anyhow, with a voltage-converter I could run a wireless camera out there if, of course, the camera's transmitting power is adequate. My VP2+ works fine at 200' with four strands of electric fence between the ISS and console and we get so-so WiFi on our phones while at the garden. I won't know until I try it. And if it doesn't work I might just have to install a bridge at a slightly nearer point (would help the WiFi signal in the backyard, too).
So, a wireless camera certainly has its application(s). Sure, a hardwired camera would be nice and I'd rather have one overlooking the garden area...but if there's nothing to "plug it into" wireless is the only option. That's one point to using them.