Yeah this sounds right. Well it doesn't sound right, hahaha cause usually the RWRP comes in the middle of an SSS set. I was also surprised by this when I researched my first HSS setup, as I had to put the RWRP pickup in the neck slot rather than the middle in that case. But yeah standard single coil for the middle of most HSH and HSS configs.
If you have to use the the "wrong" one, you can still get the split to be in phase if you swap the hot/ground wires , but you won't get the noise cancelling