USGov hasn't nationalized a company like that since WW1 when they seized Merck, and even then they just sold it back after the war. We'll nationalize utilities, transportation and transport-adjacent industries like airport security. Also finance companies will drift into and out of state control, as finance companies do.
But USGov would far sooner regulate the tax prep industry more heavily than simply take it over. We ain't no China.
A few more news stories suggesting Intuit is going to see a huge drop in revenues from this free IRS offering should bring that number down significantly.
Honestly I don't see how it would impact them significantly. Intuit already offers free file for the cases that would likely be covered by this tool from the IRS.