In my experience, when the resistor block goes, it's not all at once. You will lose one fan speed at a time (which corresponds to one resistor in the block), starting with the one that's used most often-- low speed. The next to go is almost always the next faster speed (what speed do you use if you want low but low doesn't work?).

You can do a google search with keywords like
"resistor block"
"blower motor"
"fan speed"
to get more info on this setup. It's not just Hondas which use it.

HTH, -scott