My viewpoint is different from many folks on this.
It is don't cut out the strings if you are going to get the racquet re-strung "soon". On the other hand, if you broke strings and are going to put the frame in the closet for the winter, then cut the strings.
Why do I say this?
1) Many folks do not know how best to cut the strings, so the frame may well get a shot of stress.
2) When I get a racquet to re-string, I inspect it. If the strings have been cut and removed, I don't know where the break was located. If it was at the frame and my pretty thorough inspection somehow doesn't catch a "sharp" spot, then trouble looms. Also, if the strings had been badly notched, I won't know this and can't suggest using a more durable string.
3) The only frames I have seen "bulge" upon string breakage, assuming non-Borg like tension, were the original Wilson Profiles. But even they returned to normal symmetric shape when the strings were cut.