They will of course continue to play the way they do now as there are no corporations, no crafting and no player control of stations, planets, systems, etc.
They may not wish to participate in these activities however I don't think that they would be unaffected by them - the goal of a corporation is to dominate.
The goal of any game is to dominate it - many consider "success" synonymous with domination and that's not always a bad thing. I think you're more concerned about players dominating your gameplay - that is, you won't be able to do combat, trade or explore the way you do now because player owned corporations (or empires) have... done something to impede trading, exploring or combat. I don't see HOW player corps or empires would impede your gameplay though.
And even if they did, the galaxy is big enough for everyone to play in different areas.