We know that the wedding of Finwe to Indis displeased Feanor, and the Silmarillion narrator notes that: 'In those unhappy things which later came to pass, and in which Feanor was the leader, many saw the effect of this breach within the house of Finwe, judging that if Finwe had endured his loss and been content with the fathering of his mighty son, the courses of Feanor would have been otherwise, and great evil might have been prevented...'
No one can truly know how things would have turned out otherwise, but to my mind the author clearly wants to raise the idea in the mind of the reader that this rather notable circumstance [an Elf who had married twice] arguably, at least, had a notable effect.
As noted, had Finwe not remarried, we still have ingredients that could have led Feanor down a destructive path: he was still a master craftsman, and Melkor would have been released to sow his lies and cause strife. No half brothers for example, so it may have been more difficult to set Feanor upon this path, but the Silmarils would still exist, and Melkor knew how to twist things to his purposes.
That said, interestingly, in the 'latest known' version of this scenario [but not taken up into the constructed Silmarillion however], Tolkien changes things once again according to The Shibboleth of Feanor [The Peoples Of Middle-Earth].
In this account Miriel's '... death was a lasting grief to Feanor, and both directly and by its further consequence a main cause of his later disastrous influence on the history of the Noldor.'
And in this version (actually quite a late version) Miriel endured her weariness until Feanor was full grown. And when the matter of Finwe and Indis arose Feanor was 'disturbed and filled with anger and resentment' and when he learned that he could never again visit Miriel unless he himself should die, he was grieved '... and he grudged the happiness of Finwe and Indis, and was unfriendly to their children, even before they were born.'
So Tolkien, it seems to me, is setting up even more of a foundation for Feanor's later deeds, and here even the seemingly trivial pronunciation of þ becomes an issue: Feanor would call his mother þerinde, never Serinde like Indis might...
... and Feanor wasn't happy about even that :)