You are sort of on to something with this which is that the location of the shots we give away is actually decent - a lot of the time we are restricting opponents to longer range efforts
This may also indicate our back line is actually performing okay in preventing our opponents having efforts inside the box
HOWEVER - there is a bigger overall problem which you can't see unless you get into our 'shot dominance numbers'
The best indicator analytics currently has for team performance is the amount of shots you take vs your opponents - now there are different measures for this (you can net out blocked shots etc) but on all the measures we're performing like a mid table side
We've been saved this season by Mignolet literally saving us, luck at the back (we haven't conceeded as many as we'd expect to given the amount and location of shots) and having an exceptional forward line which is shooting from good locations for fun
None of this though gets over our central problem which is we're conceeding too many shots and attacking opportunities to be successful in the long run and we won't be a top 4 team unless we fix it
Here is the one figure you have to look at. Forget TSR, which is what I think you're referring to (although it's a good metric, I think even Grayson has some misgivings about it?).
The conversion rate for shots to goals is 10%. It has been for decades.
The conversion rate for shots on target, is 33%. It has been for decades.
We've conceded 16 goals, through 182 shots. We're doing slightly better than the conversion rate in total shots. We could do better though. Our shots on target conceded total is somewhat influenced by the incredible 12 shots on target that Everton had. Defensively, the last two games have been awful. But the actual defensive unit is only a part of the problems. Our defensive woes are centred on two areas - set plays, and central midfield. Unless Rodgers fixes those, he will find himself in trouble later on.
We're definitely not doing a GOOD job defensively, but I feel the last two game skew the numbers somewhat (and isn't the cry in these analyses always "too small a sample size"?), much like the "shots for" and "possession" stats were skewed earlier on by the first 4 games. By game 20, we'll know more about which way we are going. Right now, we are probably in a "synthesis" phase of our season, where the defensiveness of the first part, and the attacking-ness of the second part, are meeting with some friction. When that settles, we'll probably be a better team, and our numbers will settle down to something more positive.