Far from implying that what you said is wrong (it surely isn't), I'd like to point out that:
1. I've also been using the very same battery pack to back-up charge my iPad 3rd gen, iPad Pro 12.9 and other electronic, battery-powered, mobile devices with no battery damaging or deterioration.
I don't use it as the main power source to recharge my devices, I just use it in emergency situations and, as I said, when I'm out and my phone shuts down at 40-45% for just a minute, in order to have it back and start properly discharging the phone in order to preserve battery life. I usually never plug the phone to its charger if above 20% and never unplug it until above 80-90%
2. every battery-operated device that supporta recharging, iPhone included, is designed to be recharged by a DC power source. The ripple in AC/DC converters' output voltage is an issue the charging circuitry has to take into account to avoid stressing the battery. Using a purely continuous power source for recharging, as a battery pack, is far better than an AC/DC converter, even so because, as you said, the charging control circuitry is built-in to the battery itself.
The Apple's original wall charger is just designed and engineered so that the output ripple is as small as possible and the current output is controlled to avoid surges that surely can damage the battery. By using a battery pack with a current-limited output, you can obtain a better charge, because the ripple is absent and the current output is still limited.
My iPhone 6 original battery must have been damaged because I used to charge it when driving using a car adapter which was MFi certified, but I suspect that the power socket in my car is defective; in fact, the car charger broke after a few months of usage. I bought another and it broke too after some other time. That is what probably killed my first battery. When I changed the battery last March and stopped charging the phone with a car adapter, but used the battery pack instead, everything worked fine for 8 months.