I don't think it is on the same level as Naruto.
Kurama's chakra can regenerate over time. This means that Naruto has a potentially limitless supply of Ninetails chakra. Since Minato simply took some of Kurama's chakra and sealed it in himself, I don't think that it is limitless. He still has access to the complete supply, but it will eventually run out. When it does, I don't think Minato will be able to regenerate it.
Kurama is a completely separate entity than Naruto, this adds a level of complexity and experience that Naruto otherwise wouldn't have. He can warn Naruto about things, and bring his experience to battles. Minato can't do this. He has only borrowed some extra energy.
I'm not sure, but I think that Minato's cloak will act differently than Naruto's. It is based on a different type of chakra, and Minato's chakra hasn't had time to develop a natural mixture with it like Naruto has. It might not affect him in any way, but the possibility is still there.