I don't post over here much, but since you hit the nail on the head...
YES! 5x5 is great and I got my strongest and heaviest on it back in my Track and Field days (Shot Put / Hammer) before ever using any AAS. Mondays Squat. Wed Bench, Friday Deadlift.
Not strong as some guys here, but 650 Squat, 425 bench, 600+ deadlift (this lift changed during the year to power cleans, then snatches at the end, then Plyios). 265lbs BW. Zero AAS.
Remember to try to always move the weight as FAST as you can, explosive. 5x5 is not about grinding out reps, just power. The muscle and strength just comes by itself. Great routine. When you stagnate, go to 5x2 or 5x1 for a couple weeks to peak out your strength, then take 5-7 days off of light active rest, then back to 5x5. Good Luck!
I wish I could still do this routine, honestly. My lower back just won't bear it after a decade and a half of competition. Im old I guess. haha.