Yes. However some computers had an Air setting and a separate Nitrox setting. You could set for Air, or chose Nitrox 21. On those computers, setting for Air could create issues when later diving Nitrox.
This sounds backwards to me. Are you saying that if you set it for FO2 21% you would not be able to change it to FO2 32% or something else for 24 hours, or that you wouldn't be able to change to Air until that 24 hours.
If so, that's not really an issue.
The problem on some of those computers was if you did the first dive in Air. If the computer did not track O2 while in Air mode, it would prevent switching to Nitrox mode on subsequent dives.