in France though the rise in cases is NOT just a result of increased testing. Hospitalisation and deaths are increasing. They just reported 154 deaths in a day. and about 13,000 cases. Given the deaths are mostly people who got it about 3 weeks ago and cases are now double what they were then expect the deaths to continue at 3 digits for a while.Surely, but I don't think this is the case in most places (with some exceptions of course). Here in Germany for instance people/politicians/media have been whining about the ominous second wave for several weeks now becaue of a rise in cases, even though there is absolutely no rise in hospitalizations and the positivity rate is almost consistently below 1 % (as you probably know 5 % stated as critical by the WHO). It's pretty obvious that the rise in cases is almost solely a result of increased testing (from 400,000 tests to over 1,000,000 IIRC) and it annoys me how certain politicians say that it's impossble to deny there's a second wave (in Germany) because it's just plain wrong.
As previously said, the test is fine, but the people making decisions on the basis of "cases" or reporting them as an absolute number without understanding it are not.