Also,
Have any of you tried a hard reset of your iPhone 6/6S by holding down both the Home and sleep/wake buttons simultaneously until your iPad goes to black and restarts with Apple logo, then release the buttons
In Settings app, General settings panel, turn OFF Background App Refresh.
In Settings app, under General settings, Reset panel, at the right bottom of the list, Reset All Settings.
In Settings app (NOT from the iOS Control Panel) turn OFF Bluetooth when not using any Bluetooth devices.
iOS has a issue/bug with just simply turning on/off Bluetooth and WiFi using the iOS Control Panel
Also, in general, if you want a faster IDevice, on all of my iDevices, I turn off most of the iOS motion graphics eye candy, by simply turning ON Reduce Motion in Settings app, General, Accessibilty settings.
If none of this, so far, has helped your iPhone 6,/6S,
What about doing a complete backup to iCloud or iTunes on a computer, then do a complete erase and reset as new in the Settings app under General, Reset then restore your backup from iCloud or iTunes?