Tycoon games are about making money by running a business. It would be very confusing to leave out the money part and call it a tycoon game.
However, the confusion is probably having a strong sub-genre within the tycoon genre. For example rollercoaster tycoon is more a building game. You build amusement parks. Some people even play in sandbox mode with unlimited money. So there you have a tycoon game without money playing a role in it... it says "tycoon" in the name tho...
A very popular sub-genre of tycoon games these days seem to be the time management games. It's still about making money by running a business. But the strategic decisions are not very complex, it's more about not burning the burgers on your grill while you take the order of the next customer.
A lot of those casual games put tycoon in their name... I don't know, but they might have given the genre a bad reputation... If you are thinking about putting "tycoon" in the name of your game, it might be possible you automatically narrowed down your target audience already without people even taking a look at the game... Or you might attract casual players to your complex business simulation game and they leave with frustration.
On the other hand, if I would want to look for a simulation game of a certain business, I would google for "<certain business> tycoon".