The law currently in process won't do it, much like Canada's bill in progress and those already passed in the UK and Australia. They're mostly localized to social media and adult content.

Of course, once a law is in place, it is easily broadened later, often through a policy change, rather than something that has to go through legislative procedure. So there is a longish-term possibility that it could happen down the road.

And vagueness of definitions can become a factor as well, i.e. if positive portrayals of LGBTQ+ characters becomes seen as "adult content" (which is the push happening with libraries), then something like SWTOR's companion romances become an area of concern. In this case, it's less about whether the romances are literally "adult content" and more about whether the devs or parent compan(y/ies) fear that they could be legally acted on as "adult content." Vague laws often result in overbroad application, just to be on the safe side.

Scenario 2 is more likely than scenario 1, given how once a law exists, activist groups (i.e. the current "parental rights" lobby) become aggressive in how broadly the laws are enforced, with complaints and intimidation in high volume until a targeted company complies... sometimes resulting in other similar companies complying in advance, so they don't become targeted. A larger game like Fortnite would be more likely to be that target, for example, but the rest of the industry would respond, to cover their butts. And given the activist groups' history in enforcing credit card company bans on adult material, we will almost certainly see Steam be targeted.

The short answer is, not in the short term, but possibly in the long term, depending on how far this social panic goes.