Is there a name for this "inching forward" overload strategy?
I have never heard of a name for it, and my googlefu isn't proving useful either. I would have just called it a 'struggle rep', but it almost sounds like you are using small bursts of energy to get past a sticking point so I don't know if that name fits. Something I should mention is that I am assuming that you are keeping proper form the entire time.
How does its effectiveness compare to other lifting strategies?
The current literature points towards volume being the most important factor in hypertrophy. So how can we do this effectively? Should you be training that close to failure?
- A study done in 2006 compared athletes training
to failure vs athletes that trained near failure. Training to failure
drastically increased resting levels of cortisol and suppressed
growth factors such as IGF-1, which indicates that training to
absolute failure is likely hindering hypertrophy.
- A study done in 2012 found that
training to failure ramped up levels of Adenosine Monophosphate
(AMP). This is a sign that the cell is drained of energy meaning more time is required between sets to properly recover.
- A 2020 study showed the final 2 reps to failure are
disproportionately fatiguing meaning you are likely going to have less total reps during your workout.
Putting this all together:
Your technique of "inching forward" is likely counterproductive if it is not your last set. If it is your last set for an exercise, it is likely beneficial to get that last bit of volume even if you fail to get the weight up.