Those rascals over in Classic Capitology seem to have too much time on their hands of late. Fresh off the gothic melange of Ghost Light they careen all the way back to a Hartnell curiosity. Okay that might not be fair.
On the DVD extra for The Space Museum Robert Shearman succinctly summed up the problems for the story. In short (and paraphrasing) he said there were only three, and that they were episodes 2, 3, and 4.
He was absolutely right. The first episode, especially for a Hartnell, is suitably strange with dollops of backwards time and intangibility of objects, including the TARDIS, all of which leads to the cliffhanger of the quartet of travelers seeing themselves encapsulated for display. It’s a neat image, and the kind of surrealism all-too-rarely seen in the program regardless of era. After that though…
One curious piece of trivia about the story is that The Space Museum author Glyn Jones is one of only two people to both write for and act in Doctor Who, Mark Gatiss being the other. Endlessly fascinating!