Dry rot is sketchy--I've driven on tires with the same cracks as yours for years and had no failures,others I bought "used" that had sat a long time and the cracking was not evident until I mounted and inflated them,only lasted only a few thousand miles of "around town" use with short distances over 55 mph on interstates before they started "shaking" the truck,and one blew on a back road after hitting a not so bad pothole..was glad I wasn't going 65 on a highway..
My truck rarely gets driven on interstates,I prefer the "other routes" in the truck.
Cracking on the sidewalls is not as bad as having cracks in the tread area or around the entire shoulder of the tire--those are the ones that let the tread separate at the plies and often fling off the entire tread without warning..sidewalls usually bubble up first,and start shaking the steering wheel before they pop,but not always..
I general higher speeds are when dry rotted tires fail suddenly..
The 4 ply typical "passenger" tires are much more prone to failing than a 6 ,8,or 10 ply truck tire is...
I have had brand new spare tires that were never used off junked vehicles at the junkyard that still looked brand new,but failed rapidly,they were never dropped out of the spare tire carrier under the vehicle for a decade or longer--but age hardened the rubber up a lot and it cracked rapidly,even though they looked perfect ..most of them developed a bubble or had tread separation..
I had better luck with half worn somewhat dry rotted tires than those!..(and the salvage yards often sell the "never used spares" for top dollar too)..
My advice is the tire "could" be fine for a spare,so long as you don't plan on driving home on the interstate at 65+ mph ,or with any weight in the truck--I'd rather have a dry rotted spare that holds air than NO spare--or having a long walk to a service station,have to get towed,etc..
The spares I have for my truck are not much better than yours,really!..but again,I avoid interstates as much as possible--I have come close to being killed changing flats on Rt.495 more than once--last time I had one in my '79 Bonanza C10, many years ago,I limped it to the next exit 4 miles away on the flat,and didn't care if I trashed the slotted mag rim either!..
I parked at a convenience store and put the spare on in their lot..
Changing a flat on my 3/4 ton 8 lugger just about kills me now--been seriously considering buying a 18V impact to keep in the truck...hoisting a 120+ lb tire & rim in & out of the bed with 18 wheelers flying by at 70 mph is not a lot of fun either..I'd rather ruin a tire and rim that get killed changing a flat in the breakdown lane..
An old car tips book I have advises to "put NEW tires on the vehicle,and USE them,don't "save" them for spares--thieves are more likely to steal a "new" spare tire that isn't stashed away or chained down,and the rubber will degrade over time,and possibly be unfit for road use by the time you do get a flat and go to use it.."..