League's system is based on a sample size of 10 from a Binomial distribution.
CSGO is a Negative Binomial with r = 10
Spoiler Alert: they both have the same fundamental parameter, p, the probability of winning a given game.
The estimate for p in Riot's case is simply the number of wins out of 10.
The estimate for p in Valve's case is simply 10 divided by the total number of games played.
Both of these converge to a normal distribution as n or r become large rather quickly. The reason it's 10 is specifically because that's the point at which both of these distributions really start to approach normality quickly.
Requiring 15 placement matches would be better than replacing the current estimate distribution with a right-tailed skewed distribution at low values of r that will simply give you the exact same outcome as before. The only reason I would fathom to do this is if you have a fundamental need to place people even lower than what Riot currently does. I don't know how CSGO's ladder works; maybe they do like the conservative estimate for placements. However, I see no reason to make the system MORE conservative when games are already 40-60 minutes long on average.