whats the value of this "information"?
state what the value is of keeping the counter?
Your total wins and losses in a given gamemode are relative indicators of your personal experience and growth in skill. On top of that, they're relatively good indicators of time spent (I know for a fact that I've played over 1,400 Normal matches, and have a winrate at least over 50% overall)
I've pointed out that there is a very clear reason NOT to keep it.
The only reason I see is that you seem to misunderstand the argument that Normals are a more relaxed gamemode than Ranked. Here's how things are:
No matter what gamemode, you are expected to play to win. That is the biggest thing that all gamemodes have in common.
Ranked is the "srs bsns" gamemode, where you're expected (by the community mostly) to be playing at peak performance with every ounce of focus and energy dedicated to winning. It's where you go when you have pretty much everything on lock, and you are absolutely certain that you can reliably win matches with your set-ups.
Normal is the more casual mode, where you're still expected to try and win, but you're not expected to go all out. If you're intentionally not trying to win, you can be punished, but as long as you intend to break the enemy Nexus, you can try out most any set-up you can think of to do that.
Riven Support? Try it out, feel free. Taric Top lane? Why not? Melee ADC w/ Blitz Support? Go for it.
Wins and losses don't change the fact that Normals are fairly relaxed, and, as I mentioned, there's no good reason to sacrifice the win/loss counter solely for the sake of hammering home that "Normals = Relaxed, Ranked = Hardcore" - particularly because removing the win/loss counter wouldn't hammer that statement home hardly at all.
It'd be like removing your LP gain/loss counter in Ranked, while still having it in the background. You can't see how well you're doing, but the intention of Ranked is still the same; play hard, and climb. The only difference would be that you can't see how well you're doing until you've moved up or down a tier/division.
information for informations sake, is not valid.
Except even the most odd, out-of-place data can still be valid information. Don't discredit the validity of win/loss data just because you think it contributes to some unspoken gravity in Normals.
there needs to be actual positive value to the information.
Does there, really?
particularly when there is a clear negative offset to publicising the information
What negative?