Those look like ridiculously narrow tracks. Not that the vehicles are super heavy, but how can those be useful on anything other than hard ground?
The requirement for cross-country ability of the Wiesel was to be "equivalent to an Iltis", the then-current 4x4 jeep in service.
They are not intended to move significantly on the ground by themselves, instead being transported to a theater by helicopter or truck - requirement: two fitting on the back of a standard 10-ton truck. They would then be used locally within a limited range envelope. In deployments so far - Somalia, Bosnia, Afghanistan - they have consequently been used for patrols within the immediate vicinity of bases.
The Wiesel's precursor in the Bundeswehr was this:
'Truck, 0.75-ton Type 640' also known as "Kraka" for "Kraftkarren" - "power carriage". In service ca 1974 to 1991, the medical transport version a bit longer. Built by Faun, the same company as that artillery portee carrier on the last page. Like the Wiesel was also available with a TOW launcher or in various utility variants. Originally there was also a variant with a 106mm recoilless rifle, replaced by the TOWs.
But the German is so much more... German... at least according to Google Translate - Luftfahrzeugwaffenträger
"Luftbeweglicher Waffenträger" actually. Formal abbreviation "LuWa", since the Bundeswehr abbreviates everything.