They can bot be true.
There are in fact - red above - two possible moments for recording: the interrogation, 01:45, and the spontaneous statement at 05:54
They willfully did not tape it due to budged connstraints, this is true for the 05:54 and for the habitual praxis.
They forgot, or bttern did focus/ not worry about setting a recording because they (expecially Mignini) were concerned with other priorities, this is a further reason that only applies to the second one, the 05:54 recording.
So I see them as both true and consistent. Don't you?
The reason for not recording the first interview is because they didn't have to , as she was a witness at this time. That Mignini did not give this as the reason strongly indicates that he was talking about the second interview, or that he believes they should have recorded it.
Until you provide the full and proper context that you have already been asked to provide, there is no reason to believe that you are not utterly mistaken. Your claims simply do not match up to the context. You can't have 'they didn't have to record it' (your claim) and 'they didn't record it due to budget' (Mig's claim) at the same time.
The reason for not recording the second intererview is absurd, they had several hours to start recording, not all were needed for the arrest, they were all apparently seasoned and professional interviewers and unlikely to therefore be jumping about like children.
The 'budget' reason simply does not work as they demonstratably had enough budget for recording multiple previous interviews, suspect surveillance, phone tapping and wiretapping, both previous and post-interview. They were already recording Knox and Sollecito prior to the interview.
Your excuses simply do not work, are not logical, do not follow what has been said in court, and do not follow the experience, training, skill and previous behaviour of the police in this case.
In short, you're making it up as you go along.
Stop it.