Reasons why Rioters tell u to take a break from losing streaks...
It is a shortfall of their mmr matchmaking system...
When u lose, u tend to keep losing... Because mmr is calculated within the same current pool of players.
Until u exit the game and try to play another time with a different pool of players. Essentially the playerbase would be different from your previous pool, u have a higher chance of winning because of the new 'blank' slate.