32K Hz Xtal can be find in Chipset RTC cell ..
as I know 32K is more difficut than 1M Hz ..
and you need more large gain
some XTAL have gate control (use AND gate) for disable /enable ..
hspice simulation maybe OK you can enable/disable XTAL clock , but real chip test , when power on is work but disable XTAL -> restart will fail
if textbook said invert gain need > 7
real chip will fail
we use 15 is better
by the way , 32KHz Osc need more start_up time
some time have test cost issue .. if many XTAL need
warm up 30ms .. test cost is High
we use "impedance"
you can real measure > 500 sample XTAL and
measure I_current
Pass chip maybe I ~ 1u
Fall chip maybe I > 10u (gain too low ??)