Because a product is claimed to be natural, Green or Eco-Friendly, it doesn't mean that it is necessarily safe in all aspects. It can still de-wax the skin leading to iritation or worse. It can still be an iritant to the respitory system.
Many of the more toxic substances on our planet are natural. Just pick the wrong fungi, upset a Black Mamba or argue with a Peruvian Indian to find out what's really toxic in the natural world
You should apply ALL the same cautions and safety procedures to both traditional and "Green" products.
Without naming names, there are traditional products praised by many on CIU that cause me considerable respiratory distress, but have no apparent effect at all on others.
My advice would be, first look after Number One. There's only one of you. Then find the safest products possible that achieve the desired results. There's plenty of scope for both traditional and green products.
Finally, always read the sales blurb carefully. If a product is claimed to be, for example, "Greener" or contains"more bio-degradeable ingredients" etc. etc. etc. etc. then that doesn't mean it's green or eco friendly, just less traditional chemicals than before. Even claims such as "100% biodegradeable surfactant" could mean that it still has, for example, traditional chemicals as dyes, perfumes, preservatives etc. etc. ALWAYS READ EVERYTHING CAREFULLY and ask yourself questions as to whether you are reading the whole truth.
SAFE and happy cleaning
Ken