But your reasons for worrying are there in the graphs, clear as day. The numbers are neutral. They should be used to illustrate.
they aren't neutral because they've been quoted against previous seasons and what constitutes a top 4 side - I agree they should be used to show whatever you think -but with those contexts their 'relevance' has already been determined.
you say 'these are trending upwards' thats means we are improving - no it doesn't it means some arbitary factor in a game measured against another arbitary assessment of what constitutes a top 4 side is 'improving' - its only progress if you place any weight on the stat being useful and relevant but without context it isn't.
The context of each of our games will be different as will the outcome. We've played different formations and personnel in those games , we've had players sent off and been ahead and behind, we've played home and away, good teams and bad and for every factor thats impacted us there has been a similar one for the opposition. Does the stat mean anything of itself? Does it have any real value? Does it even represent a trend given the small sample I'm not sure.
Come up with a stat that takes this all into context and you've actually got the stats for one game and what can you learn from one game?
Put these stats as your measurement for performance and as I said above they will 'improve' because consciously or subconsciously you'll adjust to make them improve and it wont mean a tap. Are these things the building blocks to a good side or are they a result of being a good side.
If Rodgers goal is death by football then he will be monitoring possession stats and that must influence our risk taking and pass selection. Thats the concern for me. Death by football is fine if your leading, a fitter side and dont wont to use the adrenalin of the game or the crowd. It strikes me as particularly passionless.
Are there any stats which specify the pace of the passing, how incisive those passes are, how many players they bypass or take out of the game, how much space they create, how much time they give the recipient? Any stats which show how many opportunities we could have had if the 'right' pass selection had been made? Any stats on the right pass with teh wrong execution, the right pass with a poor touch by the receiver? Any stats on how many options each man with the ball had to choose from? But do that and then you have to consider yes but he was playing against this type of team, this type of defence, this player. All of these would be useful in context but basically winning football matches is the only genuinely significant stat. To do that you need to score more than the opposition. How you get there is largely subjective there is no single way of playing not least because the opposition have their own say on what will work, so even an ambitious model of fluid dynamics is going to struggle to be meaningful.
As I tried to say early stats are interesting but too much importance is dangerous and if as Al implies they dictate what you do then thats just wrong.