Yea i got now a rather clear picture of the situation, thanks to all of you. Ill try the good morning thing first. Then after the cube method for strongman ends, i'll be able to squat twice a week more easy with 5/3/1 BBB. Is there btw good ideas how to include another squat day in the 5/3/1 BBB?
About leg press; ive done 935lbs x2 to squat depth so i dont feel the quads being weak, more the posterior chain could be the thing. But the GM should do the trick here (its good to keep in mind that more isnt better, better is better).
And you are right with that, that the ratio itself isnt bad, just the squat. The forward lean and watching little more to the ground helped with glute activation.
But more strenght with more accurate assistance exercises should help.