Considering that economic uncertainty pretty much guarantees an aggregate reduction in discretionary spending it should be almost a given that the household saving rate will increase. The issue is the circumstances and market fundamentals behind COVID are not the same as the GFC (and prior to the GFC).
Going off the trading economics data the saving rate jumped from ~1% to 10% during 2008-2009 and has steadily declined since the peak to around 4% in late 2019. How much do you think this rate will rise and how long do you think it will persist for before gradually declining like it has for the last 10 years?