Not necessarily. Using the formula I used earlier where the buy in is 5% of the player's current skill, a two player game between a noob and a skilled player with 1000 skill-points. The buy in for the noob would be 5 skill-points, and the skilled player would be 50. If the noob wins, they would net gain 50 skill-points, and the skilled player would lose 50. If they tie, the noob would net gain 22.5 skill-points, and the skilled player would lose 22.5. The skilled player would have to win to gain skill-points, and then, he would only get 5 skill-points. But, a tie or loss would cost him either 22.5 or 50
. That is a lot of work, and risk, to gain skill-points by playing 1v1 games against noobs.
On the other hand, if both players are very skilled, and both risk 50 skill-points, one player will go down 50 and the other up 50. If 7 skilled player all played against each other in a classic game, and one won, 1 player would get 350 skill-points, and the others would lose 50 each. To get the same skill-points from 2 player games, it would take 7 wins for each classic game won. Or in your example, a player who wins 1 in 4, classic would have to win 83.3% of all 1v1 games for the same skill-point increase. 83.3% is an incredibly high percentage. I have a pretty good 1v1 win percentage, and it is still only 74.5%.