Complementary MOS or CMOS are better for self biasing to get 50% because the Dc gain is unity with 100% DC feedback and there is no offset if the threshold is Vcc/2.
Transistors have a DC offset or Vcb required so self biasing will work with needed negative feedback and high gain.
Is the duty-cycle at the output of a transistor 50% when its input turns it on for only a moment each cycle? No.
Or when its input signal turns it off for only a moment each cycle? No.
Then the duty cycle of a transistor is not always 50%.