While it would be nice to believe that, but for the Hindenburg disaster, the future of airship travel looked bright, this misses some critical historical facts.
When the Hindenburg crashed, there were only two other rigid airships in the world, Graf Zeppelin, and the retired USN ship USS Los Angeles. Hindenburg's near sister, also to be named Graf Zeppelin because she would have been a replacement for the original Graf Zeppelin, was completing. Assuming Hindenburg didn't crash, there would have been two active passenger ships, the new Graf Zeppelin and Hindenburg in operation by the 1938 season. A newer ship LZ-131 was under construction.
The problem is that WW2 happens in 1939. The war would have ended all commercial zeppelin flights, except possibly within Germany and Austria, and possibly between Germany and the few friendly European nations or neutrals (Sweden, the USSR prior to 1941, Hungary, Italy). Much more likely, all zeppelin flights would be suspended and, given Goering's attitude about zeppelins, they would almost certainly have been scrapped for their aluminum in 1940 or earlier (that was the fate of both Graf Zeppelins in our world). The Zeppelin hangers would still be dismantled, and later the Zeppelin works bombed by the allies. Even if, by some miracle, all the zeppelins were not scrapped, and just mothballed for the duration,they would almost certainly be destroyed in their sheds by allied bombing.
There would be no possibility of ressurecting zeppelin air travel until the war was over...and Germany would be ill positioned to resume its role. It is remotely possible that, absent a Hindenburg disaster to sour attitudes about passenger zeppelins, the USA's Goodyear corporation might have been able to sell the public on zeppelin airships as stately transoceanic air liners, but by 1945/46 there were already passenger planes capable of carrying as many passengers as far as zeppelins at 3 times the speed. They might survive for a while as cruise ships, but not as scheduled liners.
I tend to think that, to have airships be commercially viable much after the late 1930's you'd have to change a lot more than just the fate of the HIndenburg.