What is the real problem with fixed point bias circuit?
Vbe is around 0.6-0.7V. The supply is 10V, so a 0.1V variation in Vbe changes the base current by around 1%. The variation of the resistor + supply voltage (especially the latter) are probably significantly less accurate than that. 

On the other hand, take a typical transistor such as 2N4401, hFE at 1mA could be anywhere between 40 and 500, more than a 10:1 range at 25 degrees C.

If if you pick an binned gain transistor and match a resistor (or trim it with a pot or even more tightly selected resistors), it will vary more than 3:1 over the -40 to 125 degree C temperature range (on top of the variation at 25 degrees C) so the circuit will not be very stable under varying conditions. 

1000% and 300% are much greater than 1%. 

It's a bad method but it's not totally impractical for narrow temperature ranges with binned (more tightly specified) gain transistors and where you don't care too much about output bias level.