a purple lawn

This time of year, many lawns on PEI turn purple.  Wild creeping thyme, a low-growing plant, blooms and colours lawns with waves of purple.
When I worked at the sales counter at Vesey's Seeds, this plant was a controversial issue.  Locals would come in with an offending piece of it and declare their absolute disgust - they wanted to know about ways to get rid of it.  Tourists would come in and ask about the lovely shimmer of purple on people's lawns and ask how they could have some of that on their own properties.
Wild creeping thyme is very hard to get rid of.  It is not affected by pesticides, and hand-pulling is impossible, because the stems break off and the roots remain in the soil and re-grow.
On the other hand, it is hard to purposely establish it in a lawn.  Just throwing the seeds on your lawn probably won't work.  You would have to clear a space, scatter the seeds, and water until they germinate and become established.
I would tell people who are trying to get rid of it to relax and accept the things they cannot change.  Bees love the nectar - and the plants support much more life than a desert of manicured green grass ever will.