I'm talking about strawberry plants that produce strawberries in late June and early July. That's what I have in my boxie pens and Pio's enclosure. They send long streamers out and a new plant grows at the end. Now they are all over my yard and even coming in between the pavers, just from a few plants. Is that what you mean? Are they considered wild strawberries, or is there another plant?
I have ornamental strawberry plants in my box turtle pens. Yes, they DO produce fruit...tiny little red balls that sorta' kinda' look like strawberries (its a stretch). However, they're not very tasty. I've never seen my turtles eat them. And the plants do become invasive. I pull it up every year so that I can actually see my turtles in the pen.