DD learned cursive from the start. Lots of 'pre letter patterns' (rows of u or o or e or l or c-type-shapes [she liked those, they filled every sea she drew for years] all joined up in a line to learn the basic hand movements first, pencil control, how hard to press etc etc. lots of diffferent media as well - chalk, whiteboard pen, pencil, paintbrush and water, squeezy bottle filled with water on the playground...
Then it resolved itself into individual letter shapes, but still in long tows, all joined up, again in all kinds of media
Then phonic sounds - great for digraphs, a single 'shape' for a sound, which just happened to be two letter shapes together.
Then words - or graphemes joined together, since their phonic teaching was excellent.
Absolutely brilliant handwriting. Much better than another school, separate infant and juniors, where they learn to print in Reception - year 2 and it takes pretty much all of KS2 to get the whole class to use a 'fluent joined writing style.
Much, much faster, too. I don't really see the benefits of 'individual letters with flicks', but I do absolutely see the point of genuine cursive right from the start.