In so many math books we find definitions like this:
Let $A(2,-3)$ be a point...
Why the sign '$=$' is omitted for points? Where this habit comes from? Shouldn't we write 'Let $A=(2,-3)$ be a point' ?
I find the usual notation a bit awkward, if you ask me.
I've seen this occasionally, too. Probably it is some (unfortunate) mixture of writing a point $A(2 | -3)$ as in elementary geometry and the later, more carefully introduced notation $A = (2, -3)$ for the positional (row) vector of a point $A$ in analytic geometry (i.e., as coordinates in some coordinate system). Since this is essentially the same thing, people then mix the notation and write it as $A(2, -3)$.
I think it isn't more than this and you should essentially read (and write) it as $A = (2, -3)$. And yes, you are right, it is a bit awkward. :-)
PS: If you do linear algebra then, one should also better write $A = (2, -3)^t$, because transforming $A$ e.g. by a transformation matrix only works if $A$ is taken as a column vector.