Sort node listing in menu block alphabetical

I was wondering if you could add a setting to the admin >> settings >> taxonomy_context page to change the way nodes are listed under their categories in the menu block. From what I have gathered, currently nodes are sorted by the date they were added with the newest nodes appearing first in the list. Would it be possible to make this sort optional, with another option being alphabetical? Drupal's stock menu items and taxonomy_context's categories are listed in alphabetical order, to be consistent I would like to be able to set the list of nodes in the menu block to be alphabetical also.

This idea arose on a project site that was more static and set with the content in the site where alphabetical order makes more sence, but I do see where date and most recent at the top would apply to community-style more dynamic (in terms of content) sites.

I think having this options to sort node listing order would be a great addition to this module.