Kelly,
Any "damage" you could possibly do to the battery by using the other chargers mentioned is simply that they may not have completely saturated the battery during charge yet the meter thinks the battery was full on one or more of those charge cycles, so now when you hit "100%", you may actually be only at 85% for instance. This would result in the phone "seemingly" losing power quicker than normal and if you tend to get nervous about charging before the "low battery" indicator pops up, it would appear that you aren't getting the same run time as before.
The fact is you likely did absolutely no damage to the battery and also no irreparable "damage" to the charging and metering circuit. The simple fix is exactly what you are doing now, except that you should start by charging to 100% with power off FIRST>>>THEN drain to 15%, and repeat charge to 100% with power off. As described and illustrated in
www.batteryuniversity.com, The phone looks for the high flag level first, then the low flag level is set when it hits 15%, and then the high flag is set when it hits 100% the second time.
If you don't do the first saturation charge with power off to 100%, it will ignore the new low flag at 15% and you won't accomplish your goal on that discharge cycle. Then when you charge to 100% afterwards, it would start looking for the 15% low point after that first 100% charge. If you never get there, the low flag won't be set and the high flag won't be set either. Result...the problem wouldn't go away.
No matter where you are in charge level, always start this process with a 100% charge with power off first, then the discharge cycle, followed by a repeat of the charge cycle to 100% with power off and you can't go wrong.
Good luck!