Improving stat recording

I think it would be nice if Valve expanded player information post game. I would like to see the number of towers destroyed and denied by each hero (assuming creeps didn't kill all of them). Also, maybe they could separate last hits into jungle creeps killed, and lane creeps killed. Additionally, I'd like to see the number of times Rosh was slain by each team.

Additionally, I'd like to see the feature of minimap pings and drawings being blocked from those players you have muted.

Sure, why not? A feature of finding how many friendly heroes you have denied would also be good, too, though this does not always occur.

I'm still waiting for a "placed wards" counter, it may convince some players to play support more often.

Maybe,maybe not.People don't really play carry just to make their items flashy(not everyone at least)

Maybe how many Critical Strikes you have landed is also good, but most of the time heroes with a Critical Strike or carries with a Crystalys or Daedalus would be able to brag about this.

I think any of these types of random stats is fun. It also gives more casual players something to 'collect'. ;P

Some will just spam wards in fountain when they lost the game.
some of HoN players do this often.

Sadly, this feature is slightly added in the "Strange" modifiers in items which seemingly you only find by buying keys for the chest series.

I could see someone getting a Fireborn Odachi for wards placed....

A modifier I think would be fun is "last hits on Ancient's" (Not the creep camp)