Chosen Solution
Yes, a different behavior in charging when phone is on or off points to a faulty charging circuit and a Tristar replacement is most probably needed (no U2 IC exists on the iPhone SE). The overheating you experienced is also a hardware fault indication that’s due to a short to ground. I’m quite hesitant to recommend fixing the iPhone given the present SE market value..unless you have a 32GB and up version the repair cost would be close to a second hand phone. It’ll be good for the environment to avoid another device going into landfill but close to neutral to your pockets..ultimate decision is of course yours.
Hi @beefstewart Check for dust or dirt in the charging port. This can keep the cable from making a good connection with the phone. Any history of water damage can also corrode the pins inside, making a good connection impossible. If you suspect either of these issues, it might be worth trying a replacement charging port to fix this problem. If the charging port doesn’t fix your problem, it will most likely be a problem with the U2 charging IC.