Why Isn’t My Solar Charger Powering My Lights During the Day?

I've set up a solar system for lights in my off-grid workshop for around a year, and it hasn't been working as expected. Initially, I thought it was due to poor panel angles, but it seems there's more to it. I use a Victron 150/35 MPPT charger along with a LiTime 12.8/230Ah "smart" battery featuring a BMS. My system includes two 405W solar panels in series and I have a total of 400W in LED lights. The charger recharges the battery effectively during the day, but it doesn't seem to use solar energy to power the lights directly when they're in use. It stays in float mode, outputting only 70 to 90W and discharging the battery instead. Only after some time, usually the following day, does it ramp up to about 250W for charging. I experimented by increasing the float voltage on the Victron from 13.6 to 15V, which allowed it to output 420W, successfully powering the lights without draining the battery. However, I'm unsure whether my system can truly run the lights off solar power without using the battery or if the BMS is preventing my setup from behaving the way I want. Is it realistic for my solar setup to run the lights during the day without relying on the battery?