One of the benefits of the capacitor is you never have to switch the large currents - you charge them up, touch the electrodes of the spot welder to the metal, and *zap* - they discharge through it forming the spot weld.
If you use a lithium battery, you need a way to interrupt the circuit once the current starts to flow - if you have any more than a quick pulse, you're just going to melt a hole in your sheet material you're trying to weld. For interrupting a 200A current, you'd need some pretty bulky silicon - the inductive voltage spike will need high power diodes, and the main current high power MOSFETs.