The term vegetarian was coined by the British Vegetarian Society in 1847. So, for the most authoritative definition of that word, we should consult that organization:
A vegetarian is someone living on a diet of grains, pulses, nuts, seeds, vegetables and fruits with or without the use of dairy products and eggs (preferably free-range).
A vegetarian does not eat any meat, poultry, game, fish, shellfish or crustacea, or slaughter by-products such as gelatine or animal fats.
That being said, even though these people are not vegetarians, They ARE human beings. Whether someone is a pollutarian (consumes a vegetarian diet + chicken), a pescatarian (consumes a vegetarian diet + fish) or your average meat eater, these people still deserve as much compassion as you would extend to any other animal. Just because humans walk on 2 legs and not on 4 does not mean they are exempt from "animal rights" or "compassion for animals". If you claim to be compassionate and cruelty-free, then extend that compassion to all species of life.
Even though people should be informed if they're using the word vegetarian wrongly, they should NOT be attacked for their diet choices. That will not be permitted here. Everyone is welcome in this community...vegetarians, vegans, pollutarians, pescatarians, and avid meat lovers.