Putting "no added sugar" on a product box isn't meaningless because there are legal reprucussions to fraud. If nothing is happening when games with "no ads" have ads then that is a criticism to bring to the regulators.
No added sugar is something that can be objectively measured. What does "no ads" mean? No Google ads? No sponsored content? Nothing referencing paid products? No soliciting?
Yes, this time it is digital so it's hopeless and since someone may get into a long dispute over product placements, every app should be equally likely to be bringing in protocols that are purely for ads. The only solution is to let the distributor just remove all information that might inform our decisions.