Hooks, strange vertices stuck in space -

Great! I created a thingy with hooks. works great. But there are these vertice things stuck in space. It looks wierd and I suspect indicative of a negative issue.
see example:

I think these are just to show you where the vertex were originally, before the hook modifier (it’s just a visual repair). If you want to hide them, go in the propertie of the viewport (N) / Display / uncheck relationship lines.

Hope it helps.