Just to add my two pence on the pedal adjustment - I did the same thing with my GT86, and it did help. However, I did it
before changing the spring, and after I did that, I did end up fiddling with the adjustment a few more times over the years. But I think it was changing the spring which made the most difference.
I don't think the problem was ever so much the bite point, but it was that non-linearity caused by the spring which made judging the bite point so difficult. Adjusting the pedal may change where in the pedal throw the bite point occurs, and that might help if you move it further away from the point where the spring is suddenly changing that pivot point and giving you that lurch. But I think it would be worth changing the spring first, seeing how that feels, and then making any further adjustments.
There's also the complication that changing the pedal position might have an affect on the quality of the gearchange; you are effectively changing the length of the pedal throw, by moving the pedal along the rod which goes between the pedal and the clutch master cylinder, and this might effect the amount the slave cylinder moves - if you adjust the rod to bring the pedal down, it will physically bring the pedal down, yes...but it might also mean your clutch doesn't fully disengage, as even with the pedal fully depressed, the rod hasn't been pushed in as far as it would usually.
I remember having lots of similar discussions about this with the first gen - I even remember there was one guy who had constant complaints about the quality of his gearshift and adjusted his clutch pedal the opposite way to what most people are talking about here (ie, effectively raising the pedal position), and the result was that it completely cured his second gear crunch.
I just found a video which gives a better demonstration of how the clutch pedal adjustment has an effect (on a first gen BRZ, which should have the same setup as this car). If you go to about 1.18, you'll see where he has threaded the adjuster rod to it's minimal position, which lowers the pedal - but observe how it reduces throw of the slave cylinder and therefore the amount the clutch disengages. I think the optimal position is actually to have the rod set to it's maximum position that it can be without actuating the slave - that way, you get more 'throw' to work with. I ended up having it set like this on my GT86, and the result, along with the MTEC spring, was a clutch pedal that felt heavier, more linear and had a longer throw as it was actuating the clutch more effectively and it actually made shifting smoother as a result.
Step by step guide here…..
www.gr86.org
Also, just to add, this step by step is for a US LHD car. The adjustment is much easier to make in a LHD, as the master cylinder rod is not located directly being the clutch pedal; in the RHD cars, the clutch pedal sits directly in front of that rod, and getting your fingers in to adjust it is much trickier. He also is unclipping the clevis entirely - if you're just adjusting the rod, that's not strictly necessary. You can undo the locknut, and just twist the rod within the clevis to adjust it - just placing a little pressure on the pedal as you do so will give it enough slack to allow it to turn easily.
All this isn't to scare anyone off trying it - by all means, have a play with it, as anything you do is reversible. Just wanted to share my experience that I think changing the clutch spring is the biggest benefit as that sorts the non-linearity of the pedal, which is the crux of the problem. Pedal adjustments using the master cylinder rod can then be made to suit, if you still think the bite point is wrong. Just be aware, that you don't need to make BIG adjustments - you may find that a half-turn either way might have quite a noticeable effect, so don't go mad, and also, it might be best to take note of the starting position. You can get quite invested in fiddling with it (ask me how I know!) and it becomes very subjective to your level of feel, so it's always useful to be able to return to the default, factory position if you start to lose track of what adjustments you are making.