From what you've describe, even though I like Sony laptops (have 3 of them), I would go with the Lenovo, and here is why:
- X230T will alow you to take note as well, thus allowing you to do video editing / web development when time permits on the go
- X230T uses third gen Intel i7 CPU
- Ability to upgrade the RAM to 16 GB that could help you with your video editing (Z series 8 GB max)
- 2 USB 3.0 ports (Z series 1)
Granted, the Z series is isn't a slouch even though part of its tech is somewhat dated, but if you will just use your laptop at home, then Z series would be a good solution as well. However, since you mentioned about note taking, and that you've even considered looking at the X230T as an option, then you might be leaning to a device that you can utilized for school and development; hence I will go with the X230T.