For sure, "anti-aging" or "aging" in general has two connotations for most people:
1. Extending lifespan
2. Preventing or reversing age related deficits in our physiology; skin wrinkles, hair loss/thinning, muscle strength/mass, fat gain, etc.
The two aren't always overlapping.
When people say "HGH" does not help with anti-aging, they are talking about life extension, but if we are talking about the later, #2, HGH is basically magic and 100% works as intended.
HGH replacement works like HRT/TRT/Thyroid replacement. Addressing deficiency prevents and reverses the consequences of hormone deficiency.
The dose makes the poison; HGH is known to directly cause insulin resistance, however, GH deficiency is sometimes linked to insulin resistance (But not always), with replacement reversing this problem. Optimal testosterone is cardioprotective but testosterone abuse increases cardiac risk. Optimal thyroid is cardioprotective, but too much and too little are also bad for the cardiovascular system.
Many researchers call this "somatopause" AKA the gradual loss of HGH/IGF-1 production with aging and the many consequences and detriment to quality of life, body composition, health and wellbeing. (Further supported by literature on Laron Syndrome, hypopituitary diseases, etc in which HGH/IGF-1 activity is impaired with obvious negative health consequences).