I don't think that your analogy is very useful. Most analogies aren't. Individuals don't lose sovereignty.
A country gains its sovereignty when an occupying force leaves. Ireland gained its partial sovereignty after the Treaty.
Did we lose it as a result of the bail out? No, but we did lose our economic sovereignty.
I remember thinking at the time what was all the fuss about. We had shown to be manifestly unable to manage our own economic affairs. Now a troika had taken over and they were going to impose the economic disciplines which our politicians would not have been able to impose. The last government and the current government tended to blame the troika for unpopular decisions, but decisions that we should be making anyway.
So, yes, we have lost our economic sovereignty, but that is a good thing.