I presume you are talking about WK 10235/2022 ADD 10[0], as I found many blogs and journals[1] talking about Lithuania's position there and how it is anti-E2EE, pro-Chat Control. Some things should be clarified:
Firstly, it is a working document that someone obtained through a FOI request. So it is important to understand that this was not meant for the public, and therefore the opinion Lithuanian representatives provided there was not scrutinized as such prior to release. This is not a comprehensive position of Lithuania's government or any of its branches.
Secondly, the document follows positions expressed in and around a police (LEWP) meeting. It is difficult to imagine that law enforcement would support E2EE or stand against Chat Control in principle, because it makes their daily work more difficult. This context should be kept in mind and is also pointed out by the Stanford Center for Internet and Society article I linked.
Thirdly, the opinion of a limited group of Lithuania's law enforcement workers does not impact Lithuania's constitution, nor culture. I also believe that it is not an opinion shared by many Lithuanians who have some distrust of authority following years of state surveillance, persecution, and the trauma this entailed. So it is important to understand that the culture, the constitution, and the opinion of law enforcement workers contributed to this working document are three distinct things.
Finally, this "let's sacrifice anything and everything to protect the children" narrative unfortunately exists in Lithuania as well. It's a polarizing political issue where people have very strong opinions on each side. It seems likely to me, as I read the document, that there was a strong bias towards one of the sides in the working group.
Overall, this consultation is not the overall opinion of Lithuanian people nor their government; law enforcement working groups will generally be biased towards access to encrypted information rather than privacy; and that no country can escape today's polarizing political debates, so individual people will sometimes have strong opinions without having ever thought them through.
This is not to say that Lithuanian representatives could not have acted more responsibly. They could have. Frankly, as the Stanford article illustrates, Lithuanian reps' opinion is naive to the point of incompetence. Many other countries did better. That is evident. But does this say Lithuania is against privacy? No. It is still one of the most privacy-respecting countries I have ever been to and done business in.
[0] https://www.documentcloud.org/documents/23819681-law-enforce...
[1] https://cyberlaw.stanford.edu/blog/2023/06/eu-member-states-...