Hi Omer,
No. Your whole premise is wrong here. Spot metering doesn't give a "proper" exposure any more than any other metering mode does; what it will do is expose the subject as if it were a middle gray which may or (more likely) may not be correct. eg if you spot meter a black bird you'll get a middle gray bird, and if you spot meter a white bird you'll get a gray bird. No metering mode will necessarily give a "correct" exposure - it's simply a way to tell the camera which parts of the frame to consider when coming up with it's "starting point"; the difference is though that the bigger the area that the camera is told to consider, the greater the chance that this "starting point" will be correct - thus - spot metering more often than not gives INCORRECT initial results.
All metering works on a middle gray average, and if the subject isn't middle gray then we need to add what's called Exposure Compensation ("EC") to adjust the exposure from a middle gray to what it's actually supposed to be. eg if you spot meter a white bird then you need to add +2 EC and if it's a black bird then you'd need to add -2 EV.
But all of that is moot because (a) spot metering birds is difficult, and (b) there's no need for it. In my opinion it's better to just use Evaluative / Matrix metering so the camera can work with the entire scene (which will more often than not be blue sky) and will thus get a very accurate reading; you just need to shift that reading up or down with EC to get the exposure where you want it. In reality it's usually a case of revealing detail of darker coloured birds in post processing; if you over-expose a shot to reveal detail in a dark bird then it'll also over-expose everything else as well, which doesn't make for a nice shot.
The BIGGEST mistake that people make is trying to capture a dark bird whilst shooting INTO the light; that'll end up giving a bad result EVERY time. Shoot with the sun/light behind you or illuminating the bird from an angle.
Hope this helps.