Yup, in the Amiga version you start at the pool / spa level, then fall down after the laser blast, you are immediately at the last stage where the bad alien kicks you and you have to pull the switches etc...
On the other versions you start at the pool / spa level, you don't fall down from the laser blast, your alien friend then throws you onto a canapy and there's another stage before getting to the bad alien kicking you etc...
Sorry, hard to explain. Here's a screenshot from the remake that show it's:
Trying to find a better explaination than my one for you
you can read about the different versions on the Official
site --> Versions