Capacitance is fundamentally linked to the interaction between electric charges, which implies that even with an infinite speed of light, some form of capacitance would likely persist. Modifying electromagnetism to allow for infinite light speed would require careful consideration of how charge interactions are maintained. Most natural modifications that allow for infinite light speed would still retain the attractive forces between opposite charges, suggesting capacitance remains. The relationship between capacitance and the speed of light is complex and depends on the specific alterations made to electromagnetic theory. Ultimately, capacitance may still exist as a reflection of charge interactions, regardless of light speed.