I always used gloss in my house back in the UK, and loved Dulux Liquid Professional Gloss, until the VOC changes. After that I waited to redo my own house with their newer formula High Gloss (after the debacle of their first new formula attempt

) which was pretty good.
I think
ladylola has hit the nail on the head with the main reason most people use satinwood - a 'classier', not so 'in your face' looking finish with less preparation. I admit to liking gloss but definitely recommended satinwood on jobs that I knew would still look naff, even after extensive prep.
Back to the OP - painting satinwood, or any wood finish directly on top of an unstable emulsion base is not recommended but removal will be a lot of hard work. Sometimes you can get away with it, sometimes you can't, so my advice would be to try one side of an inconspicuous door and allow it to dry for several days. If it seems fine then it may be ok to 'risk it for a biscuit'!