Zero Transfer Time: Can you charge via 100W USB-C while running the AC outlets?

I am curious if I can bypass the EPS relay entirely to create a "True Online" UPS setup with absolute zero transfer time. Instead of using the main AC wall cable, what if I plug a dedicated 100W USB-C wall charger into the front Type-C port to keep the battery topped up, while simultaneously running my laptop off the station's AC inverter?

Does these units allow for simultaneous USB-C input and AC output? And if it does, since the power would be constantly cycling through the battery rather than bypassing it (like standard EPS mode does), will this setup severely degrade the LiFePO4 cells over time?