This is quite common in Blighty; there is no need for another ticket (outside some time restricted fares where the ability to stop is limited). Indeed, it can be nice hopping off at a new city for a mooch around if you have time to do so.
(Only slightly off-topic; We have the phenomenon of 'split tickets', where it can be cheaper to buy two tickets from A --> B --> C rather than one ticket from A --> C even when the train stops at B anyway! You don't even need to get out of the train at B if you don't wish to do so. Our ticketing system is a mess.)
All saver tickets in German (which is what most people use), and most TGV tickets (even non saver) are bound to specific trains at specific times.
https://www.bahn.de/faq/was-bedeutet-zugbindung
The UK is the odd exception here.
Flexible tickets are becoming unaffordable for certain journeys such as those on the ECML with LNER (aka The Government)
Notably, I say noise, and I suspect reasonable people will point out how not-quiet trains can be. I think the only argument I need to make for how much quieter they are than aircraft is pointing out on a map where the (commuter) train yards are (routinely city-center) vs airfields (typically the outskirts, far from where people live)
Aircraft require less infrastructure between points, but when you get there a rail yard doesn't require multi-kilometer runways (plural) and taxiways.
PS - My god, I hadn't realized how pro-train / anti-aircraft I was until I started on; even having previously worked in aviation, suggesting it was a damn good idea to leave. Aircraft may be an incredible feat of human engineering, but like the personal automobile, we as a society have taken it too far and used them in places that could do with fewer of them, IMO.
In London complaints about noise from stations was more common at some point than from the train itself. ("The train now approaching platform 2 is the midnight forty-five South West Trains service to London Waterloo calling at London Waterloo only. This train is formed of eight carriages. If you see anything suspicious, call the British Transport Police on 1984. See it, say it, suck on it.")
And of course it's much better on CO2 emissions.
But trains need a lot of infrastructure and long delays are frequent.