A couple of thoughts:
1. For this moss to spread and more or less cover Mars, it would need to be compatible with the chemicals in the surface of Mars. Mars has a lot of perchlorates in its soil. Have experiments been performed here on Earth to see how that would affect the spread of the moss? See
https://en.wikipedia.org/wiki/Martian_soil for other issues with Martian soil supporting vegetation.
2. Even if this moss could cover Mars, eventually, what effects would it have on the Martian atmosphere? Would it become more dense? Would it get a breathable percentage of oxygen? What are the actual benefits of getting Mars covered with this moss?
Regarding the "ethics" of changing the ecosystem on Mars, it seems to me that we first need to determine whether there is any ecosystem on Mars. And, I think that determination should have a high priority - mainly because it is a matter of knowledge that could be lost if not properly investigated.
But, once understood to be abiotic, I see no reason not to introduce biological elements to the Martian surface.
On the other hand, if we do discover some sort of life on Mars, then I think we need to be careful not to disrupt it before we understand it. That is not because I think we need to be "fair" to bacteria or even amoebas - it is because it is in our own best interest to learn as much as we can about life that evolved somewhere besides on Earth. So long as humans still eat cows, pigs, chickens and just about all other forms of life on Earth, it would seem strange to give Martian microscopic life forms more rights than we give animals on our home planet.
However, if we discover an underground society of large animals, that would get into some more ethical issues. But, I don't think anybody is expecting that.