Vasco, at least with the wild strawberries that I have at my house I'd be a bit worried that they'd outcompete the domestic plants. Might need an experiment to confirm if this will actually happen though. Hopefully someone has direct experience to share.
I have planted wild and domestic strawberries right next to each other and let them be this way, I was sure the wild will dominate the domestic ones but it didnt happen, the domestic are bigger and will shade the wild ones, but the wild are really good at spreading all over the place, I was hoping to crossbreed them if it is possible so thats why I did it, I took some seeds and this year I will check what happened.
There are lots of different types of domestic strawberries though, some are not that competitive, I am collecting different varieties, and I have a variety that has so smooth(ok I am not sure what the reason is) fruits that the slugs are unable to eat them(they manage that only if I dont pick the berry at time - it become too soft). Slugs cant manage to eat the wild too, I hope to select berries that are smaller and higher in the air like the wild ones, because I have too many slugs and snails unfortunately...and my strawberries are all over the place and dont have particular protected spot.