Solar cycles indirectly affect cloud cover not by variations in irradiance but by increases in cosmic rays from reduction in solar magnetic shield.
Some call this the Svensmark effect, after the Danish scientist who proved this influence in cloud chamber experiment from 2017 (https://www.thegwpf.org/content/uploads/2019/03/SvensmarkSol...)
Finally, even the IPCC has acknowledged this and are in the process of altering their CMIP model for 2021, CMIP6, to include stronger solar forcing: https://www.geosci-model-dev.net/10/2247/2017/
Climate science is not settled.