No, UPS does not affect that. Ripple is caused by the switching nature of the SMPS (switch mode power supply). Energy is not transferred from input to output continuously (like with linear power supplys). If duty-cycle of the PWM (pulse width modulation) that drives the switching FET is 50%, that means that energy is transferred from input to output only 50% of the time (capacitor charging). Rest of the energy is stored in the coil and capacitor, and that energy is transferred to the output (from coil and capacitor) in that other 50% of the time (capacitor discharging). But there are losses in the coil and in the capacitor, so less than 100% of energy is transferred. That is the main cause of ripple. Using capacitors of grater capacity and lower ESR (equivalent series resistance) reduces ripple. Using coil of grater inductance increases current capability.
Excess ripple can cause false logic states. Logic 0 is actually voltage that is in the range of 0V to 50% of the Vdd (supply voltage), logic 1 is voltage in the range of 50% of Vdd to 100% of Vdd. So, if CPU runs on 1V, that means that logic 0 is everything below 0,5V. If Vdd ripple is high (200mV, for example) it can increase the logic voltage level. So if you have 0,4V, that is recognised by the CPU as a logic 0, but beacause of 200mV ripple, the peak voltage can be 0,6V and that is recognised as a logic 1 by the CPU. And that means that CPU can not function properly.