In theory, no it should not discharge. The actual striker block (part of the striker assembly) has its own spring that keeps it engaged unless/until it’s deactivated by the safety lever. The safety lever is functionally only a floating transfer bar and the only time it would be only controlled by gravity is when the slide is off the gun.
The malfunction described was the safety lever being wedged in a position not allowing the striker block to engage. I imagine removing the safety lever spring reduces/eliminates the likelihood of that happening, as the old spring was pretty easy to dislodge and I can see how it could wedge the lever in the up position.
All the above said- it’s modern Sig, so who knows and the parts will probably change again for reasons undisclosed.