I'm not really sure what to say to this one honestly, so I'll focus on what I feel are the main differences from the original.
The biggest difference is the lead. Pikmin 2's lead has a warble to it, and that warble reminds me of spaceships. It may be just the fact that I've played Pikmin 2 and the association to spaceships came from there, but this being a cover it's still just as important. Your lead on the other hand is a lot smoother, and feels more spacey than it does spaceshippy, and less eithery than the original warble in my opinion. It also feels more imposing in your version, perhaps it would have been better to make it a little quieter and shift the focus more towards the atmosphere.
An important sound in either song is a pad on the far right that plays single short notes and sounds soft and icy. Perhaps in the original it is meant to capture the coldness of space. However, I feel that the sound sounds icier in your version than it does in the original. I think that it sounds icier in your version regardless of the other sounds, but also even more so due to the (my perception) lesser spaciness of the lead.
Apart from these two points I don't have much else to say. It's a cover. It's not a bad cover. It's a little more icy. Nothing sticks out as a particular sore point, but I also don't feel like it's trying to be any different from the original.
I know that there's a lot of work that needs to be done to make a song that can be sincerely compared to the original, so good job! Keep it up.