Increasing sigma should have no real impact unless you think there is a large amount of inaccuracy in the confidence interval of the rating as it is. For example, you do it with a transfer of global to 2v2 tmm because there is a degree of inaccuracy in expecting a guy that played dual gap for 1000 games and got 1600 to play that level in 2v2. However, you could expect that guy to be able to play a 2v2 at around 900 level if not better, and he should also be able to improve fairly quickly as he has a general foundation in the game. Doing this with periodic season resets is pointless. Petric with a +100 sigma increase will still be matching against people close to his original mu and get back to his roughly original confidence interval in 4-5 games.
I also don't really understand why you need a sigma increase to remove a visual rank? You could just require 10 games in the current season to get your league badge.