Okay, so I chatted with a Samsung representative, and they informed me that their global model phones are indeed considered international. In re-reading my question now, I realize my question may not have been as clear as it could have been- I'm in the market for a new S7 Edge, and so was curious about what it meant when one of Samsung's phone models was "global," such as the SM-G935F.
So, the rep said the global model, and any non-US models (Japan Docomo, Taiwan, Japan au, Korea, Canada, etc) are considered international. He also confirmed that they do not currently work on Samsung Pay, and he does not know when this will happen, if it does.
So this is correct:
SM-G935A (AT&T, Cricket USA)
SM-G935P (Sprint, Boost, Virgin USA)
SM-G935R (US Cellular)
SM-G935T (T-Mobile, Metro PCS USA)
SM-G935V (Verizon USA)
SM-G9350 (China) [credit: Andy Yan]
SC-02H (Japan Docomo)
SCV33 (Japan au)
SGH-N611 (Japan Docomo)
SM-G935D (Japan Docomo)
SM-G935J (Japan au)