"Meta is heavily lobbying for Linux age verification" is true but incomplete. So far as I can tell, in the case of them lobbying for age verification, they're trying to get ahead of public sentiment souring on them and wanting age verification and/or social media bans. Your own source admits that they're specifically pushing for bills that require verification by the OS itself, which conveniently offloads the burden off of them. It also pokes a hole in the (presumed) conspiracy theory, which is that meta is lobbying for the bill so they have an excuse to collect even more info on its users. However, if the verification is done by the OS, it won't have that info.

Why don't they lobby against it altogether if the don't like being responsible?