A motor's running current is always less than the Starting Current.
0.93A run current on a 1A fuse, even SloBlo, may be skating close to the edge for long term reliability. I'd round-up to 2A already.
Motors also have a Stall Current. Get your wood saw JAMMED in twisted oak, the lights dim from the excess current, and the motor gets HOT. While a saw has to be protected from this, smaller motors are often sized to run "stalled" for many-many minutes. Leslie could have seen that some drunk could get his arm jammed inside and stall the motor, and engineered it to survive a while. And the player would prefer not to have to replace a fuse every time this happens. If you can do it safely (leather glove), stall the motor for a second and see how it reads.
The #1 goal of the fuse is not to let the line-cord burn (set fire to foam panels, burn the joint down). At this point the #2 goal IS to protect the now-precious motor. #3 is to rarely/ever blow "for no reason". A fuse can never provide 100% protection, especially to a motor where 80% of the input power goes to the load (spinners) and normally only 20% heats the motor.
My Kil-A-Watt died on good utility power. May not have been your bad waveform (I don't see how it is sensitive to that). I think it is such an iconic product that they no longer care about build quality, and they fail randomly.