Humidifiers and Dehumidifiers - Dehumidifier fan runs non-stop?

We found a dehumidifier in our basement when we moved into our house (10+ years ago). It wasn't much to look at but we plugged it in and it has done the job faithfully every summer since. I'm not sure how efficient it was but all it had was a plug and a knob. I would tweak the setting until it cycled full on and full off a couple of times per day. This winter we had a newer model given to us. It is a Kenmore with the digital display for humidity, buttons for fan speed, turbo mode, etc. The Kenmore works and hits the desired humidity setting but the fan never shuts off. Is this 'normal' and if so is this more efficient than one that shuts completely off when not dehumidifying?

Some of the better dehumidifier (not necessarily Kenmore) will run the fan all the time. This help with keeping the RH constant in the location of the dehumidifier.

I have an older model, but I just let it run all the time anyway.