Does increasing fan on indoor air handler cause outdoor unit to produce more heat?

I'm pretty sure a dumb question, but I'm can't seem to find an answer on Google.

I've got a Daikin SkyAir heat pump connected via WIFI/DKN.

https://www.daikinac.com/content/ass...bmittal-v1.pdf

There's no "auto" fan speed setting, but there is an option to manually set the indoor fan speed to low, medium or high.

I've been setting it on low for heat and medium for cool, since I read that cold air is heavier and so needs more "oomph" to move it around. Plus, no issue with drafts, since you're trying to cool the house down.

During winter, low is best, as it's obviously the quietest setting, but I noticed the last couple of days (with the outdoor temperatures dropping) that it doesn't seem to be able to quite hit its setpoint with the fan on low.

I've read if you increase the fan speed, the air moves faster but comes out cooler, but I have to assume the net effect will be more "heat" (BTUs?) getting pushed up as you increase the fan speed?

If true, does it cause the (variable) outdoor unit to crank out more heat? I noticed with the indoor fan on low, the outdoor unit seemed to be really loud, but it could have just been psychological. I guess I'm wondering whether I'm causing the system to work too hard if it's cold out and I have the fan speed (manually) set on low?

Also, why have a manual control for the fan speed separate from the temperature control? Am I supposed to figure out if I want X degrees in the house and it's below Y degrees outside, then I have to remember to manually turn the fan speed up?

Just wondering if I'm missing something obvious re: having only a manual fan speed?

TIA!

source https://hvac-talk.com/vbb/threads/2243853-Does-increasing-fan-on-indoor-air-handler-cause-outdoor-unit-to-produce-more-heat?goto=newpost