Breezy as always is right. Have made tea eggs but just for other folks; cannot stand boiled eggs, although I love eggs cooked any other way.
The tea eggs I have made were done for the presentation, but I suppose you could infuse a bit of flavor with spices.
But once cooked that albumen is pretty impermeable, so I don't know if one can really flavor them.
That being said I have never tasted those eggs they sell in bars in a vinegar mixture. Whether they have abosrbed the vinegar and any associated spices I have no idea.
I wish I could like the darn things. My Mom tried to make my sister and mysef eat the odious ova - God bless her. But she did it to no avail. And finally gave up.
We then got hamburgers for breakfast. A great way to get send off to school, loved it.
Sorry, getting off topic.
Basically I know of no way to make the horrible boiled egg taste a bit different than God made it.
But maybe I have to go back to those bars that serve them in the vinegar mixture.
But right now they are closed and I am tired.
Take care and God bless.