It isn't about collecting data or it thinking faster, it's about at the retail level programming it to take into account context, some which cannot always be exactly mathematically defined. There's a reason why people turn their algo's off during certain times and market environments, because the algo only knows to take the trade based on "x" and "y". Which sure that is great for consistency, but absolutely horrible in certain market environments.
Now if you have someone running the algo, who knows when to turn it on and off via market stability, time of day and context. Than in this case I would agree, the algo wins even at retail level.
EDIT: Potentially wins, still there's some manual traders that are absolutely amazing, that a bot still wouldn't beat. Good conversation overall but I am heading to bed soon, g'night all!
Yah, I'll continue to disagree with your line of thinking...

Firstly, a manual trader would be trading discretionally, ie, seat of pants, via how he feels emotionally, gut feeling instinct, experience.
He wouldn't be strictly rules based, maybe partially rules based, maybe even breaking their rules at times.
Second; when you mention turning off an algo during certain times, has it occured to you maybe at certain times a trader should just shut down trading completely because the mkt is just untradeable at times for particular traders.
Imo, a strict rules based system is superior to discretionary.
If a manual trader can trade a strict rules based system, fine, but the problem becomes one of discipline, keeping on repeating, keeping up the focus which is difficult just via manually.
There are not many people who can sit still, they always want to fidgit.
Manual traders will suffer too much from a wandering mind imo.