The ECMAScript 5.1 standard section 12.6.4 (on for-in loops) says:
Properties of the object being enumerated may be deleted during enumeration. If a property that has not yet been visited during enumeration is deleted, then it will not be visited. If new properties are added to the object being enumerated during enumeration, the newly added properties are not guaranteed to be visited in the active enumeration. A property name must not be visited more than once in any enumeration.
So I think it's clear that the OP's code is legal and will work as expected. Browser quirks affect iteration order and delete statements in general, but not whether the OPs code will work. It's generally best only to delete the current property in the iteration - deleting other properties in the object will unpredictably cause them to be included (if already visited) or not included in the iteration, although that may or may not be a concern depending on the situation.
None of these really affects the OP's code though.