I’d say not. I seem to recall hearing “Closer to the Heart” played on Hauraki, maybe once, in 1978, and that was it.
Although they released a ton of records (incl. many, many live records), they were really a touring band. They made it a point of their identity that they didn’t want to make studio records that the three of them couldn’t replicate live on stage, so they were touring constantly — but they never made it to NZ or Oz.
It’s also notable that critics hated them for the first decade of their existence, and Geddy Lee’s voice was certainly a part of that. They didn’t get accepted into the mainstream until the Moving Pictures album in ‘81, and then they kinda exploded. I believe there was only 5 platinum-selling rock records in the USA that year, the worst year for rock record sales since the birth of rock, and Rush fully accounted for three of them (new fans who discovered them started buying the earlier releases). As far as hard rock meets prog at the time, Bonham was dead and Yes became The Buggles v2, which left Rush holding the bag.
Critics still weren’t on board, but the kids were, and the more the critics lambasted them, the more it galvanized those kids and made them intensely loyal. Nobody gave critics the middle-finger the way Rush fans did. And then they started dominating the musicians polls, Peart especially. He was treated like he was superhuman philosopher-king, which was why he retreated from public life. The fandom was suffocating him. How many times can a man hear “You’re the greatest ever” before he wants to climb into a hole, and he was hearing this from the time he was 24 years old.
I remember many observers being gobsmacked in the mid 1980s when Los Angeles radio station KROQ, at the time the pre-eminent classic-rock and contemporary rock FM station in America, was having annual listeners “Battle-Of-The-Bands” tournaments and it was coming down to Rush vs Zeppelin, and Rush was winning!!
My own preferences for hard rock-prog-fusion in the 70s/80s were more for Crimson, Jeff Beck, Mahavishnu Orchestra, Return to Forever etc., I didn’t really rate Rush. But some of their songs were guilty pleasures, and I’ve come to appreciate them over the years simply because there was nobody touring like them.
Check out youtube some time, search for “Billy Corgan” + “Rush” and you’ll get an insight into the intensity of the band; He claims if they came out now “Pitchfork would be all over them, because they’re strange-as-fuck.” And if you want to see one of the best rock documentaries ever, download “Rush: Beyond the Lighted Stage.” After I saw that, I surrendered. I couldn’t help but like the band and their values.