Diagnosis
Yes, that's completely normal for the Burst charger. The light on the magnetic charging base is an indicator that the base itself is receiving power, not that the brush is charging.
How to Fix It
There's nothing to fix—it's designed that way. Think of it like a little nightlight telling you the charger is live and ready. When you place your brush handle on it, the light behavior doesn't change; it stays solid blue. It doesn't blink or change color to indicate charging status. The only way to know if the brush is charging is by its own behavior (like being dead and then working later).
If That Didn't Work
If the concept bothers you or you want to save a tiny bit of standby power, simply unplug the USB cable from the wall adapter when you're not actively charging the brush. Plug it back in when you need to top up the battery.
Heads Up
Because the light is always on, don't assume the brush is charging just because it's on the base. Always ensure the metal contacts on the brush bottom are clean and making a connection. A solid blue light just means the outlet is working.