Hey guys 
Great to see a controversial thread in progress. I just want to focus on the decisions at play here.
When we raise the turn I think it does feel like a free SD raise... but when we FSDR its generally with the intention of (1) occasionally getting a better hand to fold, (2) having an easy decision if faced with a 3-bet, and (3) we also want to have the potential to improve to something that we really want to value bet on the river.
Here, if we consider this criteria to be accurate, a Free SD Raise seems counterproductive. (1) When we do raise on the turn it does tend to get some folds... but its usually from worse hands and typically hands with very little equity.
(2) If faced with a 3-bet our decision is not so difficult... but I'd argue we could have between 0 and 11 outs. In other words, vs a 3-bet we have a high variance draw. Vs unknowns, its typically a decent option to avoid super high variance spots. They're often exploitative in general, and without more information we cannot know how to respond vs their decisions.
(3) Our FSDR is successful every single time our opponent simply calls and checks ot us on the river. Now we have the option to check back or bet with improvement. On which rivers do we have the clear intention to bet for value? I'd argue that against an unknown there are no such river cards with TPTK on a turn with 4-straight.
So in this case, with many things considered I would simply call the turn lead. If theres a raise and 3-bet behind we can probably fold. Vs 1 raise, we are again in that high-variance turn decision and need to consider our options. I would generally call one and fold the river if the board (or our holecards) do not pair again. I would tend to show down for 1 bet if the board was 5-straight on the river.