When you’re very infected then even the most casual of swabs will pick it up. The OP is instead addressing that doing it in the very front of your nose may not get sufficient viral load to detect lower levels of infection. This is doubly problematic when combined with different newer strains (omicron for example was a big step down in test sensitivity), for which tests are not as sensitive towards by virtue of being designed for the OG strain.

My technique is to actually swab the back of my throat, then as deep in my nose as I can tolerate - I’m usually actually running out of stick on the swab before it’s too deep for me. I figure I want to grab any possible trace of virus if it’s there and I’d far prefer a false positive that disappears a day later than a false negative.