In a word, yes. I have always been very disturbed by the treatment of Rosencrantz and Guildenstern. They apparently have no knowledge that Claudius murdered Old Hamlet. So far as they know, they are simply serving the rightful king of Denmark. They do know that Hamlet has killed Polonius. They apparently do not know that Claudius is sending them and Hamlet to England with orders that Hamlet shoulod be killed. The orders are sealed, and Hamlet breaks the seal. He then writes his own letter to the English king, describing it later to Horatio as
An earnest conjuration from the King [i.e., Claudius]
As England was his faithful tributary,
As love between them like the palm might flourish,
As peace should still her wheaten garland wear
And stand a comma 'tween their amities,
And many such-like as's of great charge,
That, on the view and knowing of these contents,
Without debatement further, more or less,
He should the bearers put to sudden death,
Not shriving time allow'd. [emphasis added]
"Not shriving time allow'd": as the eNotes "translation" paraphrases this phrase, "Not even allowing time for confession and penance."
This is, to say the least, disturbing behavior, and Horatio seems shocked by it.