Weed id /preference

Good evening I have a bed to the side of my drive that homes lavender some small fuchsias and a variety of bulbs. Also I have various weeds ragwort mostly gone after a few years but now over run with willow herb and two new fellows have turned up I think they are
Herb Robert cranesbill and
Purple dog violet
Would either of these make a good 'ground cover crop' or will they all give me grief in the end and just get rid?

 

I leave both these plants grow in my garden as I think the flowers are nice but not sure they would be dominant enough to be strictly classed as a ground cover.