Take in the whole lifecycle of hydrogen, given we will even be creating it in domestic and community solar installations; the main market for it is aerospace, whch won't be kept in the air by batteries. We will tend to sell only a fraction of what is produced, given it will also function as backup, and no-one knows their backup requirements in the future (The same motivation as saving money), hydrogen fuel capital will grow to replace what was lost in fossil fuels capital. Use of fossil fuels was conversion of things not already heat, to heat, whilst creation of hydrogen from solar is the opposite, the latter has planetary cooling effect, for the same reason as the former raised temperature. Heat not put to use as anything else is what we measure as temperature.

The net effect on humidity will be reduction, which will immediately compensate to some extent for extra water in the environment due to ice caps melting, until the latter can start to reform, by the reduction of temperature effect.

Every way we analyse this systemically, it all comes to the same conclusion - replacement of the historical heat-sink that was fossil fuels is not something optional, it's a requirement, and nature looks like it fully intends to force us into it.