But why would it affect finishing specifically?
I'm always fascinated by the amount of narrative finishing attracts - because of course its the most important bit, its the putting the ball in the net... but it happens in an instant.
However we know (provably) that it reverts to a mean and that even the worlds best finishers are only able to out pace the mean by a small margin
I'm sure most of us have played at some level and this makes sense as there really isn't much time for wider thoughts when you have a chance to score
When you drill down this argument its 'he's feeling down from his recent losses so his thousands of hours of practise is trumped (in a split second by the way) by those negative emotions causing him to miss or put it too close to the keeper'
I'm not saying its impossible... but it feels like a retro fitted narrative that's part of the 'fooled by randomness' that humans are subject too (streaks of results happen... we seek to explain them and fit events to do that)
Fascinating topic
It wouldn't/doesn't affect finishing specifically - but a) we're talking about Salah (specifically, his goals return) and that's what he does and b) it's probably the most specific/objective area of football statistics.
To step back from the specifics then, the proposition fundamentally is that 'mental state' (fatigue, 'confidence', disappointment, etc.) affects decision making. I think we see this all over a football pitch; but in many examples, it's less easily measured. When a player lacks confidence or is mentally fatigued, he can hesitate on the ball, make a 'tired pass', lose concentration and let his man gain a yard, or any number of other micro-errors players make in a game.
Finishing, perhaps, is one of the aspects of football
most dependent on mental state. Once a player has got into position (mainly physical, plus awareness of space and movement), the ability to then finish a chance isn't very physical, at all. Any professional footballer with the physical strength to get into a shooting position can kick a ball 8 or 12 yards. What becomes primary - what differentiates Salah from Lukaku, or Kane from Werner, or whatever - are the mental aspects.
Should he take the shot, or pick out a better placed teammate?
When should he take the shot?
Where should he direct the shot?
What type of shot?
This is all mental (plus the technical ability to execute). A moment's hesitation, a lack of confidence, trying to force things - all impact the decision making process, which is taking place in milliseconds. So I'd argue 'mental state' doesn't affect finishing 'specifically', but it does affect it significantly and, I think, more dramatically than just about every other aspect of a footballer's game.
Back to Salah's stats - yes, it could be variance. The increase in the number of shots is large enough to appear statistically significant, though - and that increase I think suggests a shift in decision making, in shooting at less opportune moments (the difference between increase in shots vs increase in XG). Identifying any impact on shot selection (type/direction) and execution/timing is more subjective (and more work than I care to do), but would be a natural, logical extension of the point.
edit: on the point about 'narrative' - well, there's often a kernel of truth in many old wives tales. One of the most common remarks when a striker is in a goal drought (and we're not talking about a drought for Salah, just some possible dip) is that "he's trying too hard". I think Salah has probably just been trying too hard, to make up for those disappointments (and to secure the golden boot).