I'm answering my own question... Thanks for your posts.
I didn't quite understand this when I read it earlier in the day. I gathered that Parameters are treated differently than Blocks but didn't understand the method for Parameters.
To get the Variax to change with different Snapshots, you need to assign the controller on the Helix. So, select the Input Block, go to Page 2, and press and hold the second knob - Preset Variax Model. Brackets will appear around the parameter.
Here's the copy from Page 35 of the new manual: http://line6.com/support/manuals/helix