No, it's the branch, not the ATM, that has an RSSD. Not all ATMs are at branches and you would be setting a precedent you could not maintain if a transaction took place at an ATM at a grocery store or even another bank. However, there might be an assumption that, if questioned, you could identify the ATM where the transaction took place.
If you want some "authority" to point to, call the Helpline and see what they say, but the above is consistent with what they have told me in similar conversations.
The SAR was simply not designed to identify ATM locations, possibly due to the impossibility of doing so for foreign ATMs.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.