But does doing all that really increase our chances of winning, or more specifically, make us profitable?
I believe you are talking about sports betting, because in games like slots for example, you just spin the wheel. So my answer to your question above is that it depends, i.e. if a football club has a dead rubber game, it would help you to have that information before placing a bet on them, because the manager would probably play with a weaker squad.
However, this does not increase your chances of winning all the time, you could make all of your analysis and lose, the part luck plays is far bigger than that of any analysis you can do.