According to research by Xin Xie et al (2025) will methane inhibiting feed additives lead to an increase of emissions of hydrogen from ruminants:

"Substantial methanogenesis inhibition reduces H2 utilization for hydrogenotrophic methanogenesis, which in turn alters rumen microbial function. For example, rumen hydrogenotrophic microorganisms fail to absorb excess H2 caused by methanogenesis inhibition, and ruminants have to expel these H2 gases via eructation, leading to an increase in H2 production"

https://www.sciencedirect.com/science/article/pii/S2405654525000095

Meanwhile, other research shows that hydrogen can have huge impact on the climate "H2 is neither a pollutant nor a greenhouse gas (GHG). However, it has been long known that H2 emissions may exert a significant indirect radiative forcing by perturbing the concentration of other GHG gases in the atmosphere." ...H2’s reaction with the OH radical tends to increase tropospheric methane (CH4) and ozone (O3), which are two potent greenhouse gases. It also increases stratospheric water vapor, which is associated with stratospheric cooling and tropospheric warming" according to Matteo Bertagni et al 2022 (https://www.nature.com/articles/s41467-022-35419-7) .

My question then is if these hydrogen emissions arising from methane inhibition is of a magnitude that means that the climate effect of methane inhibiting feed additives are substantially countered?