Constant speed propeller blade pitch compared to fixed-pitch
I believe an Arrow operates the same as my Cardinal.

With low manifold pressure, there is not enough oil pressure to drive the prop into anything other than flattest configuration no matter where the prop control is at.
If you were take off with prop control not all the way in, then in theory the prop would start getting more twist as engine speed came up, and it would be like taking off in 4th gear or similar, when you want to start your acceleration in 1st gear and then shift up (think of how the RPMs bog down as you cycle the prop at 1700 to ensure the prop can twist).

So you start with the prop and controls all the way in to take off (balls to the wall - RPM, prop,  mixture, carb heat - or levers if so equipped).

Once you get to altitude, you can start bringing them back, equivalant to shifting up and taking your foot off the gas (and leaning the mixture for increased). RPMs are dialed down, prop control is dialed out to increase pitch.

Then when you come from altitude and prep for landing, you play the game of reducing RPM, decreasing pitch, reducing RPM, decreasing pitch, until eventually you are in the pattern, prop is all the way to support a go-around, and RPM controls all the power, same as taking off.