As of this tweet: The game is available on Linux which I think means this game is TASable probably
The game has 3 major versions.
Pre-patched, Day 1 patch and the current September 2020 balance patch.
Pre-patched is the version with the least exposure unless you were playing it on Xbox One or Windows Store when it first came out because those versions didn't get the day one patch at the same time as the other releases. It's notable for having SoR2 hit sound effects when playing as any kind of Retro character and the combo score mechanic is flawed for its super short duration (making it hard to get long Out of this World combos).
Day 1 patch:
This is the earliest version for PC Steam (windows users). This version is mostly identical to the pre-patched build but with a minor adjustment to Stage 4 just before the cops segment and Stage 3's 2D segment by removing 1 knife. This is the ideal build for pure speedruns as SoR3 Skate, SoR4 Blaze, SoR3 Shiva. The score combo mechanic got refined by giving the player a lot more time to waste between hits before it banks the score (making it easier to get long Out of this World combos). There is a bug/cap that prevents the combo score bonus going any higher after dishing out around 3000 points of damage.
September 2020 patch (current as of November 12th).
This is the balance patch which gave a lot of buffs to SoR4 Axel, extra combo extensions to SoR4 Adam & SoR2 Max. SoR3 Skate and SoR3 Shiva got nerfed hard by reducing their OP Blitz attack from 64 down to 44 (Shiva)/40 (Skate). SoR4 Blaze has lost some infinites but some still work. Stage 12 is notably harder by buffing Ms.Y's mobility and giving her 100 more HP.
Despite being a slower version to beat the game fast, the score combo mechanic removed the cap meaning you can go as high as you want. 7500 points of damage is worth a whopping 88388 points
I have no idea if the Linux build can play the earlier versions otherwise, stick to the September 2020 patch.