Deck thinning cards like witcher trio and roach, as well as wild hunt riders and impera brigade are popular. The downside to including these cards in your deck is that if you happen to draw them all in the first round, you won't have enough mulligans to replace the 2nd and 3rd witchers, and roach, etc.. from your starting hand. Consequently, your first round hand is going to be significantly gimped. With how competitive a lot of matchups are, combined with the importance of having "last say" to counter cards like Dagur, Jutta+BDM, Hubert Rejk, Ozzrell, Mourntart, Isbel, etc.., drawing a bad starting hand can likely lead to losing the game. Skilled play won't save you in competitive play. At high ranks, opposing players are good and will punish you for having a poor starting hand.
To remove or reduce the occurrences of bad starting hands causing inevitable losses, I propose a new type of mulligan called the "reroll." This would simply be randomly generating a new set of 10 cards from your deck, instead of swapping 1 card. This would only be available before round 1, and it would use up 1 mulligan charge, meaning that after "rerolling," a player would be left with 1 or 2 mulligans instead of 2 or 3.
To remove or reduce the occurrences of bad starting hands causing inevitable losses, I propose a new type of mulligan called the "reroll." This would simply be randomly generating a new set of 10 cards from your deck, instead of swapping 1 card. This would only be available before round 1, and it would use up 1 mulligan charge, meaning that after "rerolling," a player would be left with 1 or 2 mulligans instead of 2 or 3.