how to import these reads: Mixed-oriented or not?

But how can it be then that there are reverse primers in the 1:0 reads and forward primers in the 2:0 reads?

I used the "standard" pipeline with DADA2 (version 2021.8) renaming the sequences to forward and reverse in directory muxed-pe-barcode-in-seq-L26
qiime tools import --type MultiplexedPairedEndBarcodeInSequence --input-path muxed-pe-barcode-in-seq-L26 --output-path multiplexed-seqsL26.qza
then demultiplexing
demultiplexed-seqsL26.qzv (317.4 KB)

qiime cutadapt demux-paired --i-seqs multiplexed-seqsL26.qza --m-forward-barcodes-file metadata_library26.tsv --m-forward-barcodes-column forward-barcode-seq --m-reverse-barcodes-file metadata_library26.tsv --m-reverse-barcodes-column reverse-barcode-seq --o-per-sample-sequences demultiplexed-seqsL26.qza --o-untrimmed-sequences untrimmedL26.qza --verbose
with barcode file

denoising-statsL26.qzv (1.2 MB)