can i play battlefeild 1 without origin access

@Kirrikay You do not have to pay monthly/yearly. You can pay for the game, but you need the Origin client (which is available for free here ), just like you need the Steam client for let's say Playerunknown Battleground). The game is launched from the client (just like in Steam) and you need the client open (also like in Steam when it comes to the MP titles). 

At the editions comparaisons, it should be a buy button. The standard edition is currently (for my region) 5 euro, while the Revolution Edition is 10 euro.

The best bang for the buck is the BF1/Titanfall 2 Ultimate Bundle (23 euro), but if you want only the complete BF1, than the Revolution edition is the one you want. 

So...no, no subscriptions needed and you do have the option to buy the game. But yes, the button to buy the game should be displayed more clearly. This is indeed a shortcoming. 

P.S.: added more information in my previous post.