Since it saves a few bytes of text by not using "var" is there a reason to use the keyword for this specific purpose ?
I wouldn't recommend you to avoid the var keyword, even if you are on Global Code.
The two ways seem similar but actually they are not the same, the first is a Variable Declaration, the Variable Object on global code, is the Global object itself, that's why global variables are accessible as properties of the global object (window.MyNS).
The second one is an undeclared assignment, it creates a property on the global object if the identifier is not found in the scope chain.
A real reason to avoid it is that in the new standard of the language, ECMAScript 5th Edition, under Strict Mode, an assignment to an undeclared identifier will throw a ReferenceError breaking your code.
There is also another subtle difference between your two examples, the Variable Instantiation creates the property on the global object that is non-deleteable:
var myVar = '';
delete window.myVar; // false
typeof window.myVar; // 'string'
While the undeclared assignment not:
myProp = '';
delete window.myProp; // true
typeof window.myProp; // 'undefined'
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