The only "disadvantage" is that many governments are wary of Monero as this is something that is truly beyond their eyes to see.
This is an "advantage" as far as I am concerned. Governments can't control Bitcoin, nor Monero. The latter is definetely more private, having implemented both stealth addresses and ring signatures. To tell you the truth, I believe Monero serves its purpose very well. It's a private currency that can be used as a medium of exchange. Bitcoin, on the other hand serves a great purpose as a store of wealth, since it is more scarce and has limited supply. I love bitcoin and I use it for payments, even though I see a lot of hate regarding its higher fees. But I use it and I encourage everyone to use it.