Just curious, but how does your understanding of the RPW lead you to this conclusion?
Not sure where you want me to start. I assume everyone here will agree with a starting point that prayer is an element of worship.
From there, I go to WCF Chapter 21, Paragraphs 3, 4 and 6. which explicitly address prayer. It is silent on how prayer requests are to be made, although it is clear that it should be done, and does set some parameters on how the prayer is to be conducted, and what is proper subject for prayer. I don't see anything which would distinguish between a note left on the pulpit, a note passed to the pastor during the service, or a spoken request at the invitation of the pastor.
If I have missed something in Scripture or the standards, please point it out to me. And I specifically invited those who are more familiar with the DPW to shed light from that source on the question and my response.
I'll turn the question back to you: Does your understanding of the RPW lead you to a different conclusion?