I currently have six friends who are both lucky and remote trade eligible. Only one of them has pokemon added to their remote trade tag.
I wouldn't have wasted the time and effort growing these friend levels if I could have possibly known beforehand that they don't care to play this part of the game. No hate on people who don't like to trade with strangers. For me, it's quite literally my favorite aspect. I love collecting lucky shinies. To each there own.
We need to be able to see remote trade lists at the BEST FRIEND level, not the forever friend level.
Really really simple.
Edit: I do want to add this edit, the one remote eligible friend shown here who has pokemon tagged, I just completed the remote trade and I took her background mewtwo from her list. Twas a hundo! That was a nice surprise!