Maybe it has to do with the concentration of HNO3.
After reading more research papers on the matter, I learned that fuming nitric acid could catalyze nitration for various aromatic compounds in dcm (but also have a danger of detonation in dcm). Apparently they made fuming nitric acid in situ by protonating the NO3- ion, and the protonated form then separated from the aqueous layer into the dcm layer.
When I first read the procedure, I thought of 'concentrated nitric acid' as the 68% one present in my school lab. But now as I think again about it, they might have meant fuming nitric acid. Since 68% nitric acid is an azeotrope with water, the species mostly exists as NO3- ions which definitely wouldn't do the job.
Now somehow I'll try and find a less dangerous step which involves the in situ generation of the protonated form. (I well know that fuming nitric acid is extremely dangerous...)
Many thanks to those who gave me advice!