I think it's more about public trust in the app than anything else. Nearform, and the government, were quite effective in establishing public trust; I think it helped that it was open source.
There's still a fair amount of people that are suspect that the published binary doesn't match the source and the app could be doing nefarious things. It will be interesting to see how this sentiment progresses. Reproducible builds would help in this regard.
Really, I work in the industry (it) and haven't known one person to raise this.
I would say the majority of people in Ireland know the various social network apps are a bajillion times more intrusive than the covid checker. Im fairly sure most people "trust" the government not to be "spying" on us