L'Oreal Sublime Glow Cleansing Oil

When it comes to my skin care, I'm a lazy girl through and through, opting for products that require minimal fuss with maximum payoff. I guess that's the dream right? This year I became hooked on Liz Earle's Cleanse & Polish, however I find this cleanser alone is not enough to remove all of my make up, particularly that around the eyes, so I often need to reach for an oil-based cleanser to tackle the pesky bits. 
I recently spotted L'Oreal's Sublime Glow Sensational Cleansing Oil, sitting pretty on the supermarket shelves, and wondered if it would be the answer to my cleansing needs. A one-stop product that will cleanse my skin, leaving it fresh and make up free. 

The first thing I should point out is that I didn't read the instructions before purchasing this product. In fact, I couldn't even if I had wanted to as it was in every European language - bar English. I'd hashtag Expat Problems but that would make it two days in a row that I hashtagged in a blog post and I'm sure that there's probably a law against that somewhere. Anyway, I presumed you would spray this onto a cotton pad, swipe it around your face, and voila - a beautifully cleansed, make up free mush. Except I was wrong. 
According to Google, the actual instructions are as follows; squirt a few pumps into your hands and massage gently into your face, around the eyes and the neck then rinse well with warm water. When mixed with the water, the cleansing oil turns milky white, which is a little unusual and took me by surprise at first but did it work to remove all of my make up?
In short, no. Whilst it did do a great job of removing most of the make up on my face and lips, it didn't quite do the job on my eye make up - part of the reason I bought it in the first place. The oil is pretty watery and I did splosh a bit down myself when I first attempted to squirt it into my hands. I wanted to love the Sublime Glow Cleanser, but for a lazy girl like myself, it doesn't do the job efficiently enough to be the only step in my make up removal routine and I was left needing to reach for more. 
One thing I will say in defense of this product from L'Oreal is that it does nourish and soften my skin after use. It isn't greasy and if rinsed well, doesn't leave any residue on the skin or clog pores which can often be a concern associated with oil-based cleansers. I imagine those that suffer with drier skin will find this works well for them. It's just a shame it doesn't go all the way as a make up remover. 
Are there any cleansers that you would recommend for removing all traces of make up whilst also leaving skin feeling smooth and healthy-looking? I'd love to hear your suggestions. 
Note: I linked up the L'Oreal Skin Perfection 15 Second Cleansing Oil as it looks to be the same product. I couldn't find the Sublime Glow Oil online in any of the UK retailers so I'm assuming it's named differently over here in Finland.