I've used a similar insert the OP is asking about on my Samsung Galaxy S3. It worked great.
Charging bases seem to vary. I have a couple of LG WCP300's. My wife wanted no beeping. Some bases beep for verification of charge. The light is yellow for standby, blinking green for charge in progress. Never had a problem with the LG bases. I still have them in use around the house. I upgraded my primary wireless chargers because of the Galaxy S7. It's capable of high speed wireless charging.
The S5 and S7 both have the red light on front of phone while charging, green notification light when fully charged. I don't recall if the S3 had notification lights. My S3's are now hard lined for power. They are now used as security cameras.
For the S4 with the damaged power input, check Ifixit. It might be possible to swap out the input. I did this on one of the S3's. Which is why I converted to wireless QI charging. My charge ports now maintain a new/unused appearance.