Not in my book; you will eventually be able to do parallel turns starting from scissored skates. To either side.
Should a downhill skate turn be focused on crossover/crossunder, (ski, not skate terminology), the same as a ski turn?
Don't worry about that for now - just think about the edges, then about ankle flex and extension.
All of the things that make up and distinguish crossover/crossunder in skiing can be done on inline skates while skating on the flat.