So how many tries (i.e. EU parliamentary votes on an actual legislative text brought in by commission) has there been for encryption backdoors or mandatory screening of chat content?
There has actually been only one, the November 2023 vote on CSAR regulation, and it was rejected overwhelmingly (https://edri.org/our-work/eu-parliament-committee-rejects-ma...).
There is no reason to believe the same thing won't occur in future votes.