Hmm, seems a bit arbitrary to limit players in this choice when there is basically an option for everything else.
This game has always been about finding the right difficulty that suits you. Whether it's an AI 3 or AI 10 technologist. It doesn't matter if you're a noob or pro, if it's too easy or too hard the game is no fun. All the countless of settings will influence the difficulty already. No core shield generators or astro trains for example... it's up to the player to make a choice that's right for him/her. Yet with the galaxy layout it seems you expect players to pick an equivalent AI 1 Turtle just to have an easy game...
Besides, I rather play on a galaxy map I prefer with AI 9 than on a crappy map with AI 8 for example.
In my opinion there are other good ways to promote randomness other than limiting players in their options. Perhaps a 'random galaxy' score bonus or a separate scoreboard, or make the final achievements: 'random map' only.
I for one do spend much time clicking the random button. Right now I want to learn the game to a friend and start out next to him with him having ship X. Even those simple parameters cost me 15-30 minutes to find a decent one (in vanilla at least).
In many of the games I've played I actually liked the creativity of using a map editor the most. I was really hoping to have standardized maps aka custom campaigns/missions that are the same for everyone so you can challenge people to beat it and where people can do for example speedruns against each other.
I see the expansions add some new map types like Circle or "X". They both allow for some great new gaming experiences that players apparently wanted. But what about Square or "Y"? On the one hand you already allow people to greatly alter galaxy map layouts, especially "X" is very characteristic and always the same (with the crossroads in the middle), yet you don't want players to come up with their own creative layout because you expect the lack of randomness will ruin their game? Come on.
Randomness is great and all but so is the option to set the game parameters just the way you like it.