Tronjo Loc: Canada, BC

Yes, it does, and it can be in both directions depending on how the comparison is done. See https://photographylife.com/sensor-size-perspective-and-depth-of-field

selmslie Loc: Fernandina Beach, FL, USA

There are no "different shooting conditions" that enter into the calculation.

The fundamental assumptions are sensor size (which sets a default CoC for each camera format), aperture, focal length and focus distance. But the assumption for CoC depends on subsequent viewing conditions.

The basic calculations are the same for all DOF calculators and they produce the same results but there is only one Depth of Field Calculator that explains it all. If you click on show advanced you will see three more factors that affect the CoC assumption - max print dimension, viewing distance and eyesight.

There is only one other factor missing - cropping applied to the final image before printing. This also affects DOF because cropping the image and then printing it to the chosen size reduces the final DOF visible in the print, just as if you had used a smaller sensor in the first place.

Tronjo Loc: Canada, BC

My bad, I meant different comparison conditions.
I know the Cambridge in Color DOF and I even think that somewhere in their site they have a version in which two different sensor sizes can be set to compare the results. I was referring to several Android applications I had tried and didn't like. I am not aware of Cambridge in Color DOF calculator to have Android version. Anyhow, I don't use such calculators.

dragonking Loc: North Yorkshire, UK

Thank you everybody.
The topic has expanded much further than I thought it would.
I've learnt a lot though.
Thank you all again

JD750 Loc: SoCal

Bottom line, (1) find a camera that likes you and buy it, (2) look through the viewfinder, (3) use DOF preview, (4) compose accordingly.

Tronjo Loc: Canada, BC