I've never tasted egg white nor smell it in my drinks. Not sure if it is because I am in the US and perhaps because they are prewashed that prevents this. Also, if you put an egg into water and it floats, throw it away.
This is the reason I love Blood Orange season. I craft this for guests and it is the conversation starter for the evening. Follow the measurements closely and you will have a delicious beautiful drink. I used Honey Syrup instead of pure honey for ease of mixing and it worked great.