Parasitic BJTs usually have the collector pinned to sub!
and you only have the emitter & base free to play with.
So you need something else to make the gain needed.
If you have a twin-well CMOS then you can get real
3-terminal / 4-terminal BJTs and make simpler PTATs
(you can do it with 2 NPN, 2 PNP, 1 resistor excluding
startup considerations). Of course BJTs made from
CMOS wells are generally quite lousy and you need
over-unity gain around the loop at low current. A
diode-connected (C=B) parasitic BJT, you don't really
care about beta. Just stuff current down it and play
with the ratios.