It's a bit dangerous to speculate about what "minimum" and "recommended" mean. The best I can do is refer back to what they meant for TW2. There, "minimum" was a level at which you could expect competent performance at reduced resolution (say, medium and 1440x900), and "recommended" was good enough for high performance at full resolution (1920x1080) and most of the eye candy (except Ubersampling).
Similarly, sub-minimum is unlikely to mean "the game won't start". (Except requirements like 64-bit OS and DX11.) What it means is you're going to have to accept some reduction in resolution, performance, or eye candy, down to, say, low or medium at 1280x720.
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It's a bit dangerous to speculate about what "minimum" and "recommended" mean. The best I can do is refer back to what they meant for TW2. There, "minimum" was a level at which you could expect competent performance at reduced resolution (say, medium and 1440x900), and "recommended" was good enough for high performance at full resolution (1920x1080) and most of the eye candy (except Ubersampling).
Similarly, sub-minimum is unlikely to mean "the game won't start". (Except requirements like 64-bit OS and DX11.) What it means is you're going to have to accept some reduction in resolution, performance, or eye candy, down to, say, low or medium at 1280x720.