Wow...you actually came to a logical conclusion on your own? That's insane. And I mean that honestly, not many people do that anymore.
You recognize the program doesn't matter. Next, look at the main way you get bigger. Pushing more weight, right? And that means being stronger, right? But we also know 1 RM is too little a work load, despite the high loads used. Therefore, work in a hypertrophy-friendly rep-range (4-10, but higher and lower CAN work, it's just not ideal) on a program that has you working on a plan to PROGRESS.
I prefer home-made training. 5x5 would be my next choice, but modify it to suit your needs. With HST, your max increases every, what, 8-10 weeks after each cycle, when you bump up the RMs? I don't like that, especially for a beginner.
The 3x5 Beginner Program is where ALL should start. Progress EVERY workout, don't be greedy, and you'll be growing as fast as you possibly can. Switch to the intermediate 5x5 (i.e., progressing once a week, rather than once a session - we don't need to use the 5x5 plan either, simply determine how often you can steadily add weight, and work on a plan that focuses on that) only after you stall three times (after resetting) with the 3x5.
What I mean by this is: You try 250 3x5 on squats. You fail. Scale back to 80-85% your next workout, then 90-95% the following. Try to hit that 250x3x5 again on the following workout. Miss again? Reset ONE MORE TIME, scale back, ramp up, and try to break it. If you fail three times, it's time to focus on loading more through the week, while cutting down on frequency of progression.
But hey, what do I know?