Reasons for constraining single-ended Op-Amp VCC when multiple power rails available
If you have several choices on your VDD supply for the opamp, here are some thoughts:

1) use the cleanest VDD, and plan ahead to sustain the cleanliness. This minimizes the use of area/cost required for "local battery" R+C low-pass-filters on the opamp's VDD. The reasoning for the is the horrid PSRR of opamps at high frequencies.

2) using an LDO output (if clean enough) instead of a higher-voltage switchreg with its spikes and ringing

3) use the same VDD as your ADC, to avoid use of protective clamps between opamps and ADC

4) if  you have a huge amount of gain, as in magnetic-field-detection for robot-location, then using separate VDDs for the first few stages versus the final stages, is a way to reduce the likelihood of oscillation by sharing a common VDD.

5) identify the best-regulated VDD, and use that, if the DC_STABILITY is crucial