Just a gut feeling, but I doubt it. You'll still get a lot of bullshit inaccurate/misleading information, just only pushed by those with the budgets to keep pushing it.
Right-wing podcasters that take money from the Russian government to spread disinformation[0] will still get their checks even if their supplement sponsorships get outlawed.
You can take away all of Alex Jones' money and he'll still find some way to put his nonsense out there.
[0] https://www.justice.gov/archives/opa/pr/two-rt-employees-ind...