FWIW, to provide the 225 amps (for a V8 starter motor) a Tesla car battery would only need a discharge capability of 3C (1C being around 80 amps), which is within its rated capabilities. This is also for batteries which provide higher voltages, so I'm vastly overestimating the C rate required.
C is the unit for charge/discharge rates, and is based off the capacity of the battery.
Conversely, a BEV traction battery has to support a wider range of loads at any charge state between its minimum and maximum charge levels, in order to have decent driving range. Like a starter motor, the BEV is not going to sustain high power output for very long, since a car only takes seconds to accelerate to legal road speeds. After that, it requires continuous output at lower power levels to maintain a cruising speed.
Even with lead-acid batteries, there are regular starter batteries and then there are deep-cycle batteries which have far less cold cranking amps but more durability when depleted to low charge states before being recharged.
The low density of lead-acid batteries is what makes them unsuitable for mobile applications. They might have 30-50 Wh/kg while various lithium ions might be 100-300 Wh/kg. And now this announcement is talking about 500 Wh/kg so 10x the best lead-acid batteries...
The 18650 Panasonic cells used in an older Tesla model S for instance are rated at only 10A draw per cell as their nominal 1S voltage (4.20V when full).
At say 30C you'd only need 7Ah lithium batery