Truthfully?
Sure kills matter in Breakthrough, Conquest etc - it depletes tickets, it gets the win. Assists matter just as much, you're contributing towards people getting those kills, and therefore depleting tickets and getting that win.
Battlefield is all about contribution, team work. Kills may be a driving factor, it's a shooting game afterall. But it's not the end factor. The win is, and that's through team work.
So if you decide to solely go the recon route of spotting constantly, or spotting vehicles to allow for someone to take them out, or running around reviving.
It's contributing. That's Battlefield.
And welcome to it too.
PS: There's never a "Right way to it" - You do you, but play the objective, always.