Sane was an inverted winger when we signed him. So why limit ourselves now to only looking for someone who currently plays on the left? It doesn't make sense. If someone has the right skillset and attributes to play for us as a left winger, it doesn't matter if they're currently playing on the right wing, central midfield or as a central striker.I tend to agree with the majority of what you said, but just left footed left wingers are almost extinct, every left footer is an inverted winger now. And to convert them properly they need raw pace and great low crossing. Mahrez is a great playmaker but he's not really known to burn defenders with pace, he relies on body feints and agility
Bailey's teammate Moussa Diaby is someone who we maybe could go for. He's a similar playee to Bailey and is keeping Bailey on the bench while being younger. His speed is almost Sané levels
Mahrez could easily play on the left, he's more than quick enough and he wouldn't suddenly lose the body feints and agility if we changed his position. He's got the shooting ability to go across the keeper from the left and his crossing ability is very good, playing on the left would just give him more opportunities to get crosses in. I highly doubt Mahrez would want to do it though, he seems very selfish in general and wants the individual glory for the odd wonder goal he does score from cutting in from the right.