Great effort at taming the little beastie. As all would be aware the difficulty is with intonation. After a while this really isn't a problem if you can hear the note you want to play. There is no way to play a sopranino mechanically, it's an ear instrument, so you've to hear the pitch first and be able to have your embouchure adjusted to make that pitch. The same is true of soprano and others, but to a lesser extent.
Most of your playing is sharp, which may be better than playing flat, but this shows a tendency to tighten when one should be playing more loosely. Try taking in more mouthpiece as this makes playing easier. Try to play octaves and chord/arpeggios in tune and you will find that there is less "adjustment" than your think to play in tune.
Not sure if I'm abnormal, but at this point I find playing the sopranino much easier than the soprano as it requires less breath and less backpressure. Good to get your intonation locked in first, but then you may wish to add some vibrato as this instrument's tone comes alive with some vibrato (in my opinion).