Facebook accounts on Android phone

Greetings. I have got a question concerning the topic of Facebook accounts linked to the Freeplay application. However, I would like to provide some context to such a specific question.

I have The Sims Freeplay installed on my Android phone. My game is linked to a secondary Facebook account that I use exclusively for The Sims Freeplay. I prefer to stay logged in my main Facebook account on my phone, independently from the Freeplay game; I would NOT like to have my game linked to that main Facebook account.

As I already downloaded the Facebook application beforehand, I initially logged in to my main account on the Facebook application on my phone. In order to link my secondary Facebook account to the Freeplay game, I had to log out from my main account on Facebook and log in to my secondary Facebook account. I could not find another way to log in (ie using Chrome). I linked the Facebook account to the game once I was logged on my secondary Facebook account.

Now, I wish my Freeplay application to remain linked to my secondary Facebook account AND have my Facebook application be logged on my main Facebook account. That was done successfully. Currently, my Freeplay game displays my Facebook account as my secondary account, and I'm logged in my main account on the Facebook application.

Here comes my question. I prefer to keep all my progress and displayed information (Facebook name, etc) to be exclusively of my secondary Facebook account. If I continue playing The Sims Freeplay while I'm logged on my main account on the Facebook application, will it impact my game? By that I mean, would I run into problems such as other players in game seeing the name of my main Facebook account instead of the name of my secondary Facebook account (which I absolutely DO NOT want), or even having progress saved under my main Facebook account instead (which I DO NOT want either)?

Thank you very much for your time. 😇