You could, but the material would be under-saturated when it cooled back to RT.
Sounds like you just need more power.
One thing to check with pulse magnetization is the pulse duration.
It is often better to slightly reduce the peak field in exchange for longer duration.

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P.E. Metallurgy, consulting work welcomed

I don't believe so. Elevating the temperature will reduce coercivity but studies have shown coercivity doesn't play a huge role during magnetization for Neo. Assuming they are in the virgin state, a high coercivity Neo will fully magnetize at the same magnetizing strength as a lower coercivity Neo.

In addition, you run the risk of the magnet self demagnetizing a bit because the heat reduced the coercivity too much.

The IEC published a nice technical report in 2009 on the magnetization behavior of permanent magnets. Amongst other things it showed, in general, that 3 Tesla is adequate to magnetize Neo.

Here's a link to the IEC Webstore for that technical report:
https://webstore.iec.ch/publication/7151

Thanks everyone!

Clyde Hancock
Design & analysis of electric motors and generators
www.motorconsultants.com

theoretically yes. since raising temp will not only decrease Hc but also decrease relaxation time drastically (less duration), both of which make magnetization itself easier. However it is a thermal demag. process, that could make it practically worse. If holding the magnetizing field to some degree as temperature cool down, it might work...an unknown to me.