There's some information available on NOx emissions for two different batchrocket
heaters. The new EU rules stipulate that the NOx emissions shouldn't be higher than 200 mg/m³ on average for more than one test run, expressed as NO², at 13 % O².
One of the test results gives 134 mg/m³ as the average of two test runs. The other one gives 142 mg/m³ as the average of three test runs. Both well within the existing rules published on April 24, 2015.
Regarding results of testing J-tube rockets aren't available, to me anyway.