The converse is also possible.
If you remove the positive rail but keep the negative (due to charge stored in all those caps along the way) the opamp will work with -3.3V/0V rails.
If it can't swing to the top rail, it may end up pulling the output below ground.
Although I think TL084 may actually be OK, because as long as IN+ is above VCC or above IN-, the VAS will be cut off and the output PNP will lack base drive.
There is also 64+128Ω in series with the output, for what it's worth
Lastly, with merely 3.3V across the rails, I'm not even sure if TL084 will bias up and do anything at all.
Somewhere here there is a lesson not to relay on SPICE, and certainly not on models of unrelated parts, when contemplating operation outside specification