I recently swapped the battery in my XPS 13 9350 due to a fat battery.
Since then, the battery works perfectly - charges, and holds charge as it did when it was new.
The only issue I'm encountering is that the laptop won't turn on in the first instance if the charger isn't connected.
Once it does turn on, even when at the 'Dell' boot page, i can remove the charger and it stays turned on.
I've removed the battery and the CMOS battery and held power button for 30+ secs to drain 'flea' power and it makes no difference. Running the inbuilt diagnostics on boot shows no issue with power, and in system configuration shows the battery health as "Excellent".
Not being able to turn it on without it being connected to power sometimes defeats the object.