DI had a look at these two.
The first one shows that vaccinated people can get infected and spread it. Well, of course! No-one has ever denied that.
But: "
New data was released by the CDC showing that vaccinated people infected with the delta variant can carry detectable viral loads similar to those of people who are unvaccinated, though in the vaccinated, these levels rapidly diminish. There is also some question about how cultivatable—or viable—this virus retrieved from vaccinated people actually is."
The second one is a study of 62 vaccinated health workers, and is saying that the vaccine is not as effective against Delta. But makes no claim that vaccinated have a higher viral load, except when compared with those infected with pre-Delta strains, which is well-recongnised.