I think that's a decent analogy. Esp given that Lighthizer is the architect of Trump's strategy. The problem is, the EU did a deal on EU companies having to share less IP to enter Chinese markets, while Trump was busy insulting EU leaders.
Reagan had the UK merrily on board, France was a non-player and Germany pretty much did what it was told.
So Reagan had more or less a bilateral confrontation, while Trump is facing three-dimensional chess.
I think the internal conditions are different, but I am not sure if that helps the Chinese leadership or hurts it.
During the waning days of the Soviet Union, The Russian population was still poor, still dealing with good shortages, but due to the liberalization of Glasnost and Perestroika they finally got to see how shafted they were. The impact of the Eastern Bloc also pulling away is something China does not have to deal with.
However, China's people are far more affluent than the Russians were, however they actually have far less political power.
Trade is the key here. The US has the goods the Chinese people want, the ones used by the Chinese leadership to placate them and make them accept their limited political power.