Indirect Techs

[Nevadaref]

The OP and his local official aren't reading the chart properly.
As Snaqs wrote, the "Team-foul count" in the "Counts Toward" column indicates that the DIRECT technical foul in the "Charged To:" column adds to the team-foul count. It has nothing to do with an indirect technical to the Head Coach. Notice that ALL of the different types of technical fouls listed have "team-foul count" in the boxes under "Counts Toward", even the ones which do NOT get charged indirectly to the Head Coach. That wouldn't be the case if this reference were for the indirects. In short, read the chart only from left to right as a normal English speaking person would, and not in any direction as a computer may.