Yes, essentially communication is a tool and any tool in a multiplayer game will be abused. Without playing any multiplayer Hearthstone, I can guarantee that some people would use "Well Played" after a mistake to insult players. Just like how in Rocket League people spam "What a save!" after an embarrassing miss.
I totally agree that it removes the richness. You lose out on any meaningful, even if small or quaint, connections, and might as well be interacting with an AI that triggers a "Well played!" at the end of the game.
There's no right answer here, it's an intractable problem since the beginning of the internet.
It reminds me of the Aesop's fable of the scorpion and the frog a bit. The problem is human nature projected into the internet.
> A scorpion wants to cross a river but cannot swim, so it asks a frog to carry it across. The frog hesitates, afraid that the scorpion might sting it, but the scorpion promises not to, pointing out that it would drown if it killed the frog in the middle of the river. The frog considers this argument sensible and agrees to transport the scorpion. Midway across the river, the scorpion stings the frog anyway, dooming them both. The dying frog asks the scorpion why it stung despite knowing the consequence, to which the scorpion replies: "It is in my nature."[1]
[1] https://en.wikipedia.org/wiki/The_Scorpion_and_the_Frog