I know nothing about the Aquarian bacteria in a bottle except if they will not tell you the names of the bacteria in the bottles, the odds are they are not the proper ones. These would be nitrosomas for ammonia and nitrospiras, some of which can convert ammonia directly to nitrate and some which only convert nitrite to nitrate. The nitrospira are patented and can only be included in the Dr. Tim's One and Only or the the Tetra Safe start whose parent company shares in the patent.
I have cycled more tanks than I can count over the years. Most recently I set up and cycled a pair of Q tanks for new fish. I did this in 4-5 days. I make my own ammonia chloride using the dry Fritz Ammonium Chloride. I did this using DrTim's One and Only for FW tanks, rinsing out a cycled sponge of two into the tank and adding live plants.
Also, there are two different scales used for testing the nitrogen complex. The Nitrogen Scale, which is preferred by the scientific community only measures N (nitrogen) in ammonia which means the NH3/NH4 (total ammonia), Nitrite (NO2) and Nitrate (NO3). The Total Ion Scale measures the total ions involved which means they include the H (hydrogen) or O (oxygen) components. But just like cm. and in. or miles and kilometers can be converted into each other, so can the two scales above.
If you test using both scales the numbers are always lower using the Nitrogen scale than for the Total Ion Scale. Most, but not the majority of hobby test kits measure using the Total Ion scale. Dr. Tim uses the Nitrogen scale. I ppm of is ammonia givers a reading of 1.28 ppm on the total Ion scale. So if you are using the ever popular API test kits and have added 2 ppm of the Dr. Tims ammonium chloride you should get a reading of 2.56 ppm. Here is a brief explanation as well as conversion numbers
https://www.hamzasreef.com/Contents/Calculators/NitrogenIonConversion.php
While science would say 1 ppm of ammonia = 1 ppm of ammonia - 1 ppm of nitrite = 1 ppm of nitrate on most of our kits which use the total ion scale then of ammonia1ppm on the N scale becomes 1.28 on the TI scale and 1 ppm of nitrite becomes 3.28 ppm on the TI and 1 ppm of nitrate becomes 4.43ppm on the TI scale.
When used properly the Dr. Tim's should be working faster thant what you are seeing. Here is a pdf of his directions for cycling using his ammonium chloride and bacteria. Now he is expecting all tanks will be fish ready in 8 days. Some tanks may take a few more days.
https://www.drtimsaquatics.com/wp-c...FishlessCycling_prescription_recipe_Nov23.pdf