Well.. Lufthansa does not have a monopoly in Germany. We have solid railway infrastructure within Germany, other Airlines servicing us in all directions. Lufthansa will have to offer competitive prices.
However, yes, flying will become more pricy. Around the world. We will see lower passenger numbers for many many years, mid-term many have to financially recover, long term environmental and viral concerns will be a permanent affect on tourism. Increased digitalization will reduce business travel. And all of that while the costs of the airlines increases due to stable fix costs and increased security/hygiene/... regulations.
So yes, flying will become more expensive. But not due to government sponsorship and monopolies (for LH in Germany).