Are my accounts surely linked?

So I initially bought BF1 and then made an EA account.

Then when I bought BF2042 in steam, after linking EA and STEAM, my account shared the EA username in game.

Now I bought BF6 and during beta, the username in game was my steam name instead of my EA account name.

I am worried that if I now grind the unlocks from BF2042 road to BF6 battle pass, will the rewards surely go to my BF6 even though it uses a different username? Same EA account though.