If you do alternative vote, there will be a greater consensus among the electorate in 338 constituencies that the winner is really the winner, because they had to accumulate more votes. Admittedly, some of those votes were second preferences of voters whose first preference dropped off the list. Nonetheless, it does address it to some extent.
If you ask yourself how serious the problem is and you answer the way I do, that it's not drastic, not a crisis, and you look at the alternative vote model, then you could make an assessment. If some of the problems persisted, even under alternative vote, and you could link those problems to the electoral system, then you could go back and have a second look and perhaps go for some form of modified proportional representation. No one in their right mind recommends pure PR for this country. It's just not on the books.