People are vegan or vegetarian for various reasons, health, environmental or ethical. An ethical ovo-lacto vegetarian doesn't make much sense to me since the dairy industry is pretty cruel, egg production isn't great either.
I wouldn't call myself an "ethical ovo-lacto vegetarian" because it sounds pompous, but it's basically what I am. My position is that raising and killing animals for meat is unjustifiable by any reasonable ethical or environmental standard. However, it is possible for dairy and egg production to be ethical, even though it often isn't in practice. So, I try to source eggs and milk from producers who minimize suffering. For example, I could get eggs from a local smallholding where I can see for myself that the chickens live fairly good lives.
I had a similar mindset and was vegetarian for around 7 years. My girlfriend 3 years ago challenged me on some of my thoughts and I bit the bullet and stopped eating all animal products. The transition is a lot easier if you’re already vegetarian and the amount of options around now make it really easy.