The linked article suggests a novel and much cheaper test, which would be great. But even if that didn't work out, what scale could possibly be feasible with existing tests? Pre-shortage, an RT-PCR seemed to be much cheaper than a missed day of work.
Testing a few hundred people daily would be doable, as Germany has relatively good testing capacity - probably one main reason for the overall better handling of the pandemic so far. But the concept still gets critisized, as this would mean a fast track to testing for the players while parts of the population don't have equal access to testing.
For the whole population, it would be a good first step to be test really everyone who has any assumptions of symptoms and some time later, everyone in contact. And perhaps a biweekly test for the general population.
That's because we currently aren't capable of testing everyone who is obviously sick just once. If we got there, we wouldn't even be close to being capable of testing key personnel (like health care workers). If we got there we wouldn't even be close to being able to test everyone once. If we got there we wouldn't even be close to being able to test everyone every day.
You haven't heard any advocating for OR against it because it is so far from achievable that it isn't worth considering.