It should try to, but if it pulled too much your breaker should have tripped. It might be sensing a problem and lowering the amperage automatically.
Correcto Mundo. The power backs are actually very sophisticated devices. First, the Lucid pack is rated to draw up to 40 amps if everything lines up. "Up to" are the magic words. I know for a fact that the Lucid and Tesla packs have several temp sensors that will tell the internal circuitry to scale down or shut off. There are many reports of people using the cheap HD dryer receptacles, and after 8 months or so, they degrade to the point that the receptacle gets too damn hot, the temp sensor in the power pack plug reads that, and the amperage from the pack is cut in half. I am told that Tesla CS now mentions that to customers.
But, based on my training, this may all be within normal tolerance. Breakers do not sense amperage; they sense heat related to the rated device amperage. Your breaker may be a tad high tolerance and the Lucid pack could be pulling a tad lower than MAX for MANY reasons: your battery, weather, line voltage, line distortion and heat/impediance from the plug and receptacle. The Lucid could sense that 40 amps is creating heat/impediance somewhere in the circuit and is throttling back.
I know of no circuit in a power pack that could sense the amperage rating of a breaker. Breakers are benign until they heat to point thatvit trips. I have many electronic devices run wonderfully on slightly undersized breakers. By far, motors are the worst, even with correct ratings.
Fun fact: by Code, plain breakers (load limiting devices) are there first and foremost to protect YOUR HOUSE WIRING. The NEC is published by the national association of fire commissioners. GFCI and arc fault are added functions to plain breakers.
The breaker was probably, hopefully, sized for your wiring. If it's not tripping, you are protected.