These are categorically untrue. Post translational modification of proteins (by proteins) is a thing. Post transcriptional modification of RNAs (by proteins) is a thing. Transposition of DNA sequences (by proteins) is a thing.
These are categorically untrue. Post translational modification of proteins (by proteins) is a thing. Post transcriptional modification of RNAs (by proteins) is a thing. Transposition of DNA sequences (by proteins) is a thing.
Yes prions are real but the article points out that prions modify the way other, already-existing proteins fold. Prions do not create new proteins nor do they change the amino acid sequences of other proteins, which means prions don't violate the dogma.
The article addresses your other points as well.
Proteins also do change the amino acid sequences of other proteins - they cleave them! The results of the cleavage are then important for cell biology, and although it seems plausible that the the results could have traditional "protein" style functions, e.g. as an enzyme, I not sure this is ever actually the case. But the end result is still that the rule has to be understood very narrowly.
In that regard, I feel this is particularly relevant:
"During an organism’s life, environmental conditions cause certain genes to get switched on or off. This often occurs through a process known as methylation, in which the cell adds a methyl group to a cytosine base in a DNA sequence. As a result, the cell no longer transcribes the gene.
"These effects occur most frequently in somatic cells — the cells that make up the body of the organism. If epigenetic marks occur in sex cells [however], they are wiped clean prior to egg and sperm formation. Then, once the sperm and eggs have fully formed, methylation patterns are re-established in each type of cell, meaning that the acquired genetic regulation is reset to baseline in the offspring."
I would guess that, in the ordinary cases of cell division, the replication of methylation is, on balance, desirable, and that it probably requires an additional mechanism beyond minimal DNA base-sequence replication. In that case, its near-absence specifically within gamete production seems likely to be significant. The cases where methylation persists through generations should not be ignored, and neither should the existence of a mechanism that apparently exists to prevent (or at least constrain) it (or a mechanism to