This is a matter of perspective. The ticket is not aimed solely at people with median income of a tech worker (or the typical HN crowd), but help out the general populace as a whole. Including those who can not even afford a car.
Now I think when the times comes (3 month from now) for the program to run out, we might see discussions about continuing it at a price that makes it a more sustainable, permanent offer. But that's my opinion speaking (I wouldn't even mind if it was mandatory like back when I was attending university, as long as it is affordable for people with low to lowest incomes).
Seems pretty unlikely that they'll be able to after a 3 month period of operating at a loss (for the government) and likely having more issues due to increased usage.
It is a political decision, whether the government wants to pay the costs out of the federal budget. If the government is serious about CO2 reduction and also shifting commute traffic from cars to public transport, this might be an surprisingly cheap option. As the high energy costs also mean increased tax revenue, it might not even be a large load for the budget (and compared to many other things, spending like €10B/year on public transport isn't really much anyway).
My crystal ball is broken. I think there is a good chance that what you say will happen. But collecting the data in this nation-wide experiment is already quite useful when deciding on future policy. Until now it was always "we believe" or "this doesn't fit our agenda" or "this is socialism". Plus, if it is sufficiently popular and if the obstacles can be identified and overcome, then why not? If the new administration wants to reconnect with the people then employing some positive populism is quite nice.
//edit: As I said, I didn't mind paying for the mandatory students ticket (most universities have that), even when I eventually stopped using. I'm in the "make public transportation free" camp, and think this is a good step in that direction; even if we end up with "affordable for all" instead of "free". But as I said, that's opinion, not knowledge.
Now I think when the times comes (3 month from now) for the program to run out, we might see discussions about continuing it at a price that makes it a more sustainable, permanent offer. But that's my opinion speaking (I wouldn't even mind if it was mandatory like back when I was attending university, as long as it is affordable for people with low to lowest incomes).