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The stats you get on level up is a fixed % of your base stats, so pumping either ATK or SPD will result in the same offensive power with fists. Since SPD also boosts dodge, as you mentioned, you should probably pick SPD.
If I start with A-33 S-19, at level 1001, I'd have A-16500 and S-9500. With Fists, my offence is (16500+9500)/2 = 13000, and dodge is 9500.
If I start with A-23 S-29, at level 1001, I'd have A-11500 and S-14500. With Fists, my offence is (11500+14500)/2 = 13000, and dodge is 14500.
Therefore, I agree with your conclusion to select SPD. I'd have the same offence and 50% more dodge.