LDREX/STREX are something that have to be implemented by the chip vendor, hopefully to arms specification. You can and should get the arm documentation on the topic, in this case in additional to arm arms and trms you should get the amba-axi documentation.
So if you have
ldrex thread 1
interrupt
ldrex thread 2
strex thread 2
return from interrupt
strex thread 1
Between the thread 2 ldrex and strex there has been no modification of that memory location, so the strex should work. But between the thread 1 strex and the prior ldrex there has been a modification to that location, the thread 2 strex. So in theory that means the thread 1 strex should fail and you have to try your thread 1 ldrex/strex pair again until it works. But that is exactly by design, you keep trying the ldrex/strex pair in a loop until it succeeds.
But this is all implementation defined so you have to look at the specific chip vendor and model and rev and do your own experiments. The bug in linux for example is that ldrex/strex is an infinite loop, apply it to a system/situation where ldrex/strex is not supported you get an OKAY instead of an EXOKAY, and the strex will fail forever you are stuck in that infinite loop forever (ever wonder how I know all of this, had to debug this problem at the logic level).
First off ARM documents that exclusive access support is not required for uniprocessor systems so the ldrex/strex pair CAN fail to work IF you touch vendor specific logic on single core systems. Uniprocessor or not if your ldrex/strex remains within the arm logic (L1 and optional L2 caches) then the ldrex/strex pair are goverened by ARM and not the chip vendor so you fall under one set of rules, if the pair touches system memory outside the arm core, then you fall under the vendors rules.
The big problem is that ARM's documentation is unusually incomplete on the topic. Depending on which manual and where in the manual you read it for example says if some OTHER master has modified that location which in your case it is the same master, so the location has been modified but since it was by you the second strex should succeed. Then the same document says that another exclusive read resets the monitor to a different address, well what if it is another exclusive read of the same address?
Basically yours is a question of what about two exclusive writes to the same address without an exclusive read in between, does/should the second succeed. A very good question...I cant see that there is a definitive answer either within all the arm cores or in the whole world of arm based chips.
The bottom line with ldrex/strex it is not completely ARM core specific but also chip specific (vendor). You need to do experiments to insure you can use that instruction pair on that system (uniprocessor or not). You need to know what the ARM core does (the caches) and what happens when that exclusive access goes out past the core to the vendor logic. Repeat for every core and vendor you care to port this code to.
