The Freestanding product does not have conditional variants. It has six different variant groups none of which are conditional. Your test product does not have a base picture for the product when you look at it in the catalog. My base product picture is the same as the first one in the variant drop down menu. This way the picture will not change from the catalog to the detail view. This used to work perfectly.
You also had the "Hide Thumbnail" box checked on the product. That is also unchecked in mine.
In Test:
I unchecked your product's "Hide Thumbnail" box, and added my product picture. When you go to the detail page and click
on the Picture : Pic 1, nothing changes. Choose Pic 2 and it changes.
My steps for creating the variants in your test system:
1) Create the base product with the picture that will be the first one in the picture dropdown list
2) Create all variant groups with the "Manage Variant Groups"
3) Enter all data for each variant group.
3 a) Type in "Sort Order",
3b) select the "Product Variant Group",
3c) leave "Product Variant SKU" blank,
3d) type "Product Variant Name",
3 e) choose "Display Type",
3 f) click "Required" where appropriate,
3 g) enter "Quantity on Hand" even though this never used to be required,
3 h) browse to select "Select Image to Upload",
3 i) type "Price Adjustment",
3 j) type "Weight Adjustment",
3 k) leave the "Conditional Variant Group" on "Select" to mean "blank",
3 L) click "Add new Variant Group".
4) Repeat Step 3 a-L for all 53 variants.