WieWaldi When I first learned Musescore, I use mouse input. Soon I find it's quicker to use my left hand on the number keys to select note value while using right hand on mouse to click pitch.
But recently when I try to enter a piece with more chords, this method is still cumbersome. Chords with closer steps (e.g. inversions of V7) can take a lot of trouble to get right. Also notes wth accidentals takes extra steps. So, when I tried to enter the notes at my MP11SE it went a lot easier - select note duration, and enter a chord in one stroke.
The only remaining issue is the computer keyboard, trackpad, and monitor are all a bit of a reach at my piano station. Korg microKey fits on my regular computer desk where everything is more comfortable for computer work.
I also explored the 2 methods of input in Musescore to see which work better. The default, note input mode, require thinking (& selecting) note value first, then pitch. One convenience, though, is if note value does not change, I can just enter the next notes. The other entry mode is input by duration. Here, the though process is reversed, enter note (or notes for a chord) first, then select duration (note value). The caveat is note value must be set for every entered note (or chord) even if it remains the same as the previous entry.
With either input method, the key to efficiency is to be able to select note value quickly. I can use my left hand on the number keys at the top row of the keyboard, or use right hand on the numeric keypad (which is why 5 is quarter note). I actually have a mini-numeric-keypad laying around somewhere which could be really handy for this, allowing me to use either hand. If using a full size midi keyboard, Musescore allow mapping certain keys (e.g. A0-G1) to note value, so that one can use both hands for note entry without needing to reach for the computer keyboard.