For an adjustable or TTO, that would be true, but a 3 piece not so much. So, if I were going o store away a 3 piece, I would break it down and wrap it.
Safety razors don't rust, with only a couple exceptions they're made of brass and/or zamak.
And they really don't need to be oiled, they were designed to function without it and have lasted a half century or more just fine.
In fact, oil will often attract and collect dirt, causing the works to get gummed up quicker than otherwise.