Article says "Brancatelli recommends going online and comparing the overall Peoria-to-St. Petersburg fare the airline quotes you against the individual fares you’d get if you were to book separate flights from Peoria to New York and from New York to St. Petersburg. Whichever option is the cheapest is the one you go with."
Perhaps, but I've never seen that unless I use multiple airlines. Saved my brother about $120 by doing that.