I'm talking in general terms. In a given circuit you have things that combine additively and things that combine multiplicatively. If what you want to cancel can be combined multiplicatively with something else, that is when you look for something that will have a reciprocal relationship or, if you have something that has a reciprocal relationship to what you want to cancel, you look for ways to combine it multiplicatively with what it is you want to compensate for. I am NOT saying that it is easy or even possible to do it either way for any given circuit or parameter.
why it is always advised to keep Ve a bit large (lets say 1V) to minimize effects of Vbe in a constant current source circuit,in order to increase its performance?Saturation doesn't mean that if Ib changes that Ic doesn't change. It merely means that Ib no longer has the strong, largely linear effect on Ic that it has in saturation.
It is a constant current source ONLY when the transistor is in the active region. Once that transistor saturates or gets cutoff then it is no longer a constant current source.