They wouldn't acknowledge the mister human's ownership even if they were aware anyway, remember how Yukkuri's think "anything that grows in the soil is for the first that get's it easy" they'll ignore all the walls, gates, posts, signs and obvious mister human's mister house next to it as any sort of hint that's Mister Human's mister flowers.
So yeah, while it's sad, it's can't be helped, if they won't respect signs and hints than 90% of the animals do, then Humans will get on their case as much as they feel like.
Also Animals won't insult you or trash talk you if you catch them screwing up your property with some stupid and selfish logic that won't consider the possibility that "what is growing in the soil may had been planted by the mister to begin with".