The puppets were always good, the problem is the writing was terrible by the end. The same tired writers re-writing the same tired jokes. Viewing figures were awful by the time they pulled the show. So although it's good to see the new puppets, the writing will be key and I think we're far more delicate and quick to take offence now than in the 80s. That Tory cabinet vegetables joke would absolutely not be made now.
What was unusual about Spitting Image is it lampooned both sides of the political spectrum equally. Comedy writers tend to be left wing because they serve the same role as court jesters - poking fun at authority and those in power. In general, the left wing doesn't tend to hold power for long, if at all.