Maybe a more expensive sensor will have less random photon noise at the same ISO than a less expensive sensor with all else equal. I do not know whether this answers the question.
For the same chip technology, larger photosites (lower resolution or larger sensor chip) will collect more photos per photosite and each will have a better signal to noise ratio. This will permit using a higher ISO at the same signal to noise level. There is an explanation at https://www.cambridgeincolour.com/tutorials/digital-camera-sensor-size.htm
and at https://www.cambridgeincolour.com/tutorials/image-noise.htm
Others use a different definition of noise.
I hope this helps.
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