Is it allowed for thr neutral wire to enter GFCI terminal from this side?

[JFletcher]

While the hots go to the brass screws and the silvers the neutral, the hot also goes to the smaller slot and the neutral the larger. The graphic is wrong because no GFCI receptacles made would have internal 'cross overs' to allow a wire landed on the left to power the right slot and vice versa.

If the question is 'can you wire a MWBC like this to provide GFCI protection?', the answer is if it were wire nutted the way shown (which is correct) and wired to the LINE side of the GFCI (which it is) AND the polarity were correct (which it isnt unless you have some magical prototype GFCI receptacles with internal crossover), then yes, all four would work fine and independently of each other.

THAT said, unless some build spec is in play here requiring all GFCI protected receptacles to be individual GFCI receptacles, you are wasting 2 receptacles here. You can get all 4 receptacles on 2 circuits (one MWBC) GFCI protected utilizing just 2 GFCI receptacles. That would require another 12/2 (eta: 2 12/2s vs one 12/3) tho, and in small boxes (handy boxes?), wire fill could be an issue. It's also marginally easier to wire the way the pic *intended* to show rather than using 2 GFCI and 2 regular receptacles using line and load.

 

[kwired]

Note that since GFCI receptacles interrupt both grounded and ungrounded conductors, the neutral connection must be on the line side.

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I think this is the answer to the question asked. Other replies are on technicalities of the drawing.

Newer GFCI receptacles won't reset if there is line/load reversal, even if just reversal of the neutral conductors. GFCI receptacles won't know if you have grounded and ungrounded reversed, though that is a code violation.
But they must have 120 volts between the "line" terminals before they will reset.

Once you have the device mechanically reset you can swap line and load leads and it will continue to operate, but once it has been tripped it will not reset again without 120 volts between the line terminals.