yep this held for singles and higher rep ranges.
that sounds very good.
if you're controlling heavier weights for more reps in the same form that is a very good sign that you have gained muscle, but there are many other variables to take inot account too ie
motivation (were you more motivated to train intensely when you actually started seeing your muscles)
desire
hormonal levels including gh and growth factor (seeing as you are 15 this is a very relevant and pertinent variable)
history of training (see above) + how long
environment (gym, training partners, etc)
mental (stress factors, focus, puberty, girls)
there are more but you get the point.
i'm not dismissing what you're saying altogether. in fact i applaud you for thinking outside the box and, if there is one consistant attribute to a successful athlete it's that they truly
believe what they are doing will give them success. this is far more important than whatever principles you happen to be following.
my point is, have you enclosed yourself in another box? would you get better results with some more calories, etc?
unfortunately a bber (especially recreational) doesn't have a trainer/ coach to guide/motivate him so the rec bber is left to analyse what he's doing and make adjustments. this is usually where they come undone. some delude themselves and some follow whatever programme comes along that looks better, which of course implies that were never absolutely convinced on what they were doing (see aformentioned point about successful athlete).
focus and belief are essential, but first comes analysis and, unfortunately, without a hands on trainer, you are left to do that.
when that's done, train like a man possessed and you'll get closer to your goals.