I'm not OP but I live in Washington DC, where our summers are definitely hot and humid. I keep my apartment around 78F to 80F. I use a dehumidifier to keep relative humidity around 50-55%, which corresponds to a dew point of ~60F which is low enough to still feel comfortable instead of "sticky".
On especially hot days, I will raise the setpoint higher, and use a small fan to circulate air around where I am spending time, which is very effective when humidity is not too high.
He's saying that you have two air conditioners: one that vents heat inside your house and one that vents heat outside your house.
Your dehumidifier and your air conditioner are mechanically identical. The only difference between the two is where the waste heat goes. The exact same device is called a 'dehumidifier' if the waste heat is vented indoors and an 'air conditioner' if the waste heat is vented outside.
There's not really any efficiency gains from running a dehumidifier to reduce air conditioner use. They both use the same power and have the same effect on the absolute humidity, so you might as well just run the air conditioner (unless you want it to be warmer).
There's also dessicant dehumidifiers that don't use a refrigeration cycle. They do also warm the air a bit but may be more efficient per mass of water removed from the air, depending on the temperature and humidity range.
I do have an air conditioner (well, an air-source heat pump), but it doesn't adequately remove enough moisture before the indoors gets too cold. It's possible this is not properly sized, but I cannot change it because I rent.
In my case I did some tests, and the additional power usage of the dehumidifier is way more than offset by the power savings I realize by running the air conditioner less frequently. This only works because the dehumidifier enables me to be comfortable at a higher indoor temperature.
On especially hot days, I will raise the setpoint higher, and use a small fan to circulate air around where I am spending time, which is very effective when humidity is not too high.