Effectively it only uses three for all of its radio and audio functions as one (that 35W4) is the rectifier but that's a good thing because a valve in that rôle won't suddenly expire and cause your home to smell like a million stray cats used the floor as a toilet where a selenium rectifier can - and will, usually when people are visiting

- do that. The pentodes are used efficiently and each is performing the functions of at least two other valves with every junction having a part to play. It looks so sweet and innocent but it's actually a very efficient design that manages with those three remaining valves what some large, European sets use as many as eleven valves to do, in some cases using a sophisticated final audio pentode like an ECL86 to perform a single function, with an additional valve used as audio driver.
Looking at the pinouts of those valves they are indeed only little B7G bases on them, I love how equipment from the American continents uses those in so many ways where here in the UK, they were rarely if ever seen outside of battery portables that ran 1.5V heaters and tended not to last very long as a result of the hard life that battery portables would be subject to.
Yep, that's a little beauty!