Block Output Customization Depending on Page

Hello,

The design I am building off of requires the functionality of the block to appear in different ways throughout the site. For instance: The home page requres the block be linked to the node page and then it also has a remove button outside of the link. On the compare page I use the same block but only with the remove functionality place in a different spot.

My question is, what is the best way to pass contextual information to the module that would allow me to customize the output of the block? I would use the theme_node_compare_block_content function but it seems the ajax functionality is removed entirely if you use that by itself vs. spitting the block out in regions.

Thank you to the developers of this module, it's an awesome tool!