As you said, that is your opinion and it is not according to the letter of the rules.
The fact is lovren deliberately attempt to play the ball and successfully connected with the ball. These two actions are all that is required. the rules does not state that he has to deliberately play the ball to the offside player. It says "deliberately plays the ball".
As for your advantage argument, if lovren did not miskick, but controlled the ball, then deliberately play it to an offside Kane, doesn't Kane then considered to have gain an advantage from an offside position?
This is not a handball situation where interpretation is needed. The referee in this instance does not need to interpret if lovren miskick or actually meant it. He just need to assess if lovren made an attempt to kick (note it's kick, not block).
If you keep arguing that it is a save, imagine the redicule the commentator would get if a defender make a clearance, and the commentator say, wow what a good save by the defender.
I’m sorry for my salty wording previously. I do think it’s an interesting debate, and that you, Listar, are making some very good points that a failed to acknowledge. I was wrong in at first thinking the rules were obvious.
I still think you’re wrong in thinking this is obvious though.
As for the were we disagree, it’s clearly in your understanding of the use of the word save. You seem to think it’s synonymous with a passive position or the word block. You also seem to think that a clearance cannot be regarded as a save. This is not at all clear.
My contention is that if for instance a defender will be deemed to have saved the ball on the goalline wether he kicks the ball away (which he normally will) or keeps his foot in a still position. Likewise, a keeper that puts his hand out in front of a goal bound shot, moves it forward to beat the ball away, or boxes it away, will be credited with a ‘save’. A block can be a save, a clearance can be a save.
When the law as per today distinguishes crucially between a ‘deliberate play’ and a ‘deliberate save’, I think it’s a great weakness in the formulation that it doesn’t make it clear what the difference is.
I do think the interpretation Moss made, and that may well be the interpretation of all the FA refs this year for all I know, is stupid. If it hadn’t been for that, I wouldn’t have bothered with this hair splitting definition.
It’s counterintuitive to the players and most viewers (it seems from this) that an offside position is wrong if a defender misses the ball entirely, leaves it, cushions it or blocks it to the attacker, but is okay not if he moves his foot trying to stop it, or only partly misses it.
Neither is in accordance with the intention of the offside rule (you shouldn’t be fishing for the ball to get an advantage), nor is it in line with the intention of the ‘deliberate play’ exemption (to make it harder for defenders wanting to play deliberate backward passes to the keeper).
To sum up a long post probably noone but you, Listar, will bother reading

, I think the rules at this point are faultily ambiguous, and the interpretation of amongst other Moss is a stupid interpretation of it.