This will be one of things that some swear by and some don't bother. I just don't see it as a waste of time and money. Well, perhaps time, being an additional 2 or 3 minutes work per rotation, but money? If anything, it will save you money as it will allow your set of tires to last longer, rather than having a 7 year old tire that has never been used but is all cracked and cannot safely be used. Also, when it comes to buying a new set of tires, you could buy five new tires, or, you could just buy a set of four, and use the best of the five worn out tires as your spare, and cease rotating your spare into the mix at that point.
At the end of the day, I have a spare that is close to being worn out (good enough for an emergency, since I would be looking for a tire place right after a blowout anyway), lasted a bit longer than your identical tires since I rotated in the spare, and would need to be replaced in about 7 yours or so due to age; and you will have a brand new spare that would only be used in emergencies and would need to be replaced in about 7 yours or so due to age. Neither way is wrong, just preference.