Hi Baloo Uriza! 
I’m Anastasia. I'm an OSM communications specialist on the OSM mapping team at Lyft.
This question has already been covered here: https://www.openstreetmap.org/changeset/131053026
We rely on the only one page at OSM wiki about the destination:street tag - proposal from Minh Nguen: https://wiki.openstreetmap.org/wiki/User:Minh_Nguyen/destination:street 
, and following the discussions about the destination:street tag in the OSM Slack (https://osmus.slack.com/archives/C2VJAJCS0/p1688272262847299 ).
As per our understanding, the use of this tag is still under discussion, and It's acceptable to add a street name in the destination tag.
If you could give any other details you may have about this tag, we would be very grateful.

Best regards!