Japanese iris have a very distinct, raised midrib on their leaves, which Sibes lack. And there are no variegated Siberian iris that I am aware of :-)

btw, Japanese iris does not require a boggy situation to grow well. Will grow perfectly fine in any acidic, moisture retentive soil and regular summer irrigation. Have grown these for years in regular garden beds, as no boggy situations exist in my garden :-)) They can be somewhat slow to establish and flower, however.

I just went out in the rain to feel for a midrib and can't say I detected anything obvious, but will compare more closely with my Siberians later. If you google variegated siberian iris a lot of things come up, perhaps all botanically inaccurate. I considered iris pallida, although it seems much taller than mine is, at least for now, and has a rhizome. Maybe what I ended up with is just liriope??

I have confirmed it is ensata due to presence of the gardengal's midrib. Is it best to wait until fall to improve its soil and maybe position? It is now in very sandy soil in a courtyard built on sand.

Moving in fall is fine. And a sandy soil would not be much to its liking, given that it is a water iris, and water just runs through a very sandy soil. Enrich the new area with lots of organic matter to hold in the moisture better.

I planted 3 ensatas(non variegated) last spring then transplanted it in a more puddle retentive area in fall and they are blooming right now! So idk what the deal is with ensatas not blooming for a couple years. However the blooms are very short lasting and deer eat it! The foliage tends to flop over a lot as well. I think you should go for a non variegated version.