In short order there will be a speech about how ADP has "very nasty people" who need to stop saying like this or there will be "serious consequences".
After that, it's not that ADP will fabricate the numbers, they'll just stop making them public, and when e.g. analysts buy them the contract will come with a term forbidding public disclosure.
And if ADP did get the wild idea to resist any government action, the law firm representing them would be targeted as well. Like we've seen this year already.
1. Claim it is Biden's economy and his job numbers.
2. Claim the lost jobs are actually indian immigrants going back.
3. Your point about ADP.
4. Threaten any media that reports these numbers.
After that, it's not that ADP will fabricate the numbers, they'll just stop making them public, and when e.g. analysts buy them the contract will come with a term forbidding public disclosure.