Sorry but you are interpreting this passage in a wrong way. This passage only talks about RTD and who can apply for it BUT it doesnt say a GC holder direct from Asylum CANNOT apply for RP. If there is such interpretition I would request you to highlight it for the forum to read. So many in this forum have got their RP through GC as a result of being Asylee eg check PQQ .
body can you read English ?
if you are a permanent resident as a
direct result of your refugee or asylee status in the
United States, you may apply for a refugee travel
document.