In my recent searching.....R availability is currently poor to Europe but better for Asia. A few years ago it was the opposite. So searching and not seeing anything may just indicate no availability.
My most frequent domestic routes almost never have R availability at booking but I did find space for DCA-IAH for travel on Tuesday of this week, booking about ten days out. And the IAH-DCA leg on Monday cleared six days before departure. I cleared one ORD-IAH Thursday afternoon flight earlier this year which I considered a near miracle. As expected IAH-LAS and LAS-IAH did not clear earlier this summer.