i had a quick look at your first video and this one, i think you should congratulate yourself on the improvement you have made over the six months.
This video with a left arm over would bring out most of the technical errors in all of us, they are a bit tricky to play. Ideally you would be straight and on driving everything with a leg glance or flick to anything over pitched near leg stump.
forget the coming round the ball for now there is something else i noticed and it is a very minor point to rectify but will stop a problem that a lot of batsmen have to left armers. If you look at a few of your shots you take a little step wiht your back foot forward after you have hit the ball, this is a sign that your balance is a bit off. It doesnt happen on your very first 2 shots becuase your back foot is technically correct. What oyu should do is hvae a relaxed back foot, ie it isnt planted flat on the fllor and the toe pointing to point when you hit the ball. Both feet should be pointing up the pitch. This will stop the the little walk forward.
when facing left armers, which i love, i point both feet in the direction of cover when opening up my stance and everything is hit straight. There is one shot you are very disappointed about in the first minute or so, it was a cover drive which went in the air and it is an easy mistake to make. Try to hit the non striking batsmen with these shots because if you are going through cover you have to be using an open blade on impact so unless you get it 100% right it is going airbourne, not a problem if you throw everything at it and the field is up.
Overall i think you are being a bit harsh on yourself about coming round the ball, you dont get runs for looking technically perfect!!! You are hitting a lot of scoring shots along the ground and it is safe to go aerial over the bowler which you are doing, so you can be very confident of getting some runs this season.
Just remember its going to be a little soft for the first few months so it wont be coming on like these indoor nets. ..... be careful driving especially cover driving.
ps shave your head and you will look like matt prior!