SodaStream bottles are not compatible with Mysoda's 'Woody' water sprinkler, as this is compatible with standard carbon dioxide cylinders, but not with SodaStream's specific cylinders or bottles. In particular, the 'Woody' uses standard screw-in cylinders, whereas SodaStream has proprietary cylinder and bottle systems that do not directly fit other brands' devices.
There is no difference between the product "Woody ()" from Mysoda and the Mysoda water bubbler Woody. Both describe the same sparkling water maker, which is made from sustainable biocomposite material with visible wood fibres, contains a 1-litre plastic bottle and is particularly quiet and easy to use. The device works without electricity, has a practical quick-release cap and allows individually adjustable carbonation levels. It is the same model with identical properties and design features.
The Mysoda sparkling water maker is compatible with other gas cylinders from other manufacturers (except Sodastream models with Quick Connect), for example this SodaStream CO2 cylinder