I saw some people say on comments on TikTok that they went to court paid a fine and no criminal conviction which is odd. I have asked someone who was in a similar situation to me but 4 years ago and he had used a freedom pass and he had to go to court and pay a fine and no criminal conviction on his police report and DBS
It's worth unpacking this a little bit. On the one hand
they went to court paid a fine and no criminal conviction
They may have misunderstood the process: the court can only charge you a fine if you're convicted (so either you have pleaded guilty or the court has found you guilty). If you're convicted, you're proven to be a criminal, and the court keeps a record of who they have convicted - and that's your criminal record. Put simply, if you have been to court and received a punishment, you have a criminal record.
However...
someone (...) had to go to court and pay a fine and no criminal conviction on his police report and DBS
This happens. That's because not every crime goes forward to the DBS (or, it would seem, onto a police report). If you've been convicted in court, you still have a criminal record - but you won't necessarily have a record with the DBS.
What does this mean in practice? It means that if someone with a right to know asks if you have been convicted of a crime, you need to say 'yes' - even if it's not held on the DBS. But you also need to know that there's a thing called the 'Rehabilitation of Offenders Act'. That says that most people and organisations are only allowed to ask you about crimes for a limited period of time: I think I'm right in saying (and if I'm wrong, someone please correct me) that for something like fare dodging on TfL the time limit is a year (because it's a byelaw conviction). But some organisations are allowed to ask for longer: you'll know who they are, because they will say that you need to declare criminal convictions even if they have expired ('are spent') for the purposes of the Rehabilitation of Offenders Act (or similar words). And it tends to be government organisations or ones for jobs where a very high level of trustworthiness is important which are allowed to do this.