I don't know if this would be "module troubleshooting" or "module request".

Is it possible to make it so that when people have mail in their inbox under the webmailfx module that there could be some indication in the user menu like there is with the private mesages?

It could be possible, perhaps.
But the module is no longer under active development.
Bye,
ft

Is that why my bug report has never been assigned to anyone? When I get a certain number of email in my box it won't open and the page just keeps on loading.

It is a pity when a piece of free software stops growing or dies at all.
WebMailFX is probably not died. It will have new life under a different and perhaps better form.
We are all sorry for delays in development, for the inability of fixing all bugs, and so on. But, on the other hand, it is true that there were just two people working on that module: me (mainly as PM) and kaotik.
It is not a big achievement for such a large community not contributing at all to a module which lots of people loved (I estimated at least more than 2,000 downloads over the time) and needed, cause there's almost no one similar in the XOOPS world. But that happened and I don't want to blame anybody.
You'll find some additional infos here.
Best Regards,
ft

Thanks for the linkage. While it looks like it's dead in the water the next projects sounds pretty good.