https://en.wikipedia.org/wiki/Interlaced_video
"Non-interlaced" is just sending the same line for both fields, "interlaced" is sending different lines for each field. You can update your "non-interlaced" screen at 50/60Hz and the viewer will see movement, because it's transmitted for both fields. If you were updating just one line of an interlaced screen at 50/60Hz, it would only be transmitted every second field, so the viewer would perceive 25/30Hz movement.
For high-resolution monitors, Commodore and 3rd parties offered a "flicker fixer", which took the raw output, buffered both fields in its own RAM, and re-emitted the combined image as a single frame.
https://en.wikipedia.org/wiki/Flicker_fixer
*: actually 59.94Hz