You're looking at this problem like it's one thing causing it the reality is couple things mixed together.
Super fast TTKs/matchmaking/latency/synchronization issue
TTKs 100Ms + 200Ms delay = 300Ms
Or you could have died 3 times over during that time

People wonder why a defensive playstyle is so powerful when you die so quickly mixed with a delay.
Super fast TTKs people low because no effort needed or real skill whoever see who first wins. But it causes massive networking issues due to how fast you die.
Matchamking you join a lobby you have a 5ms ping to the host, say everybody else has a 300ms ping to 900ms ping. The game has to request data from all clients and smooth that out. That's a tall order when so much delay at play as a result some strange things can happen. Deaths around corners by that lagging guy even if you have a 5ms ping. In other words it messes up the whole lobby not just you.
Latency of any sort of data always a pain, always going to happen sadly.
Synchronization issue note what I said the game does try but it very hard thing to pull off.
So how to fix these problems?
Increase the TTKs say to 250Ms as a average
Matchmaking lower the number of playlists (hate to say that but would help) cuts up the player base. Improve the matchmaking so it pairs people based on ping over geolocation more.
Lock the game so players with a ping of over 200ms can't join any lobbies
Increase the game updates per seconds should help with the syns 30 per second too low should be near 100.
Your idea you would need to increase the movement speeds/ADS speeds along with damage/health on a couple things. I would like it to be that simple but it won't be.