On your cat being loud specifically: volume varies enormously between individuals and it does not mean anything in particular.
It is largely anatomy and individual variation, in the same way some people have carrying voices. A very loud purr from a relaxed cat is not a signal of anything beyond a relaxed cat.
The more interesting observation in your question is that she is not generally affectionate but purrs hard when she does seek attention. That pattern is common and it is worth taking at face value — cats that solicit contact on their own terms often engage very intensely when they do. Letting her set the timing is usually what maintains it.