What's your dusa build again? I remember it seeming more interesting that linkens first.
Depends on enemy comp but I laned in that match and went
Phase --> Dom Helm --> Yasha --> Bfly (22 minutes?) --> Manta --> Crit --> Satanic --> Skadi (coming on courier) --> Travels
My level 6 skills are 2-0-2-1 (stats first point) usually and at 11 are 4-0-4-2. I skip mystic snake until I've run out of points to put in stats. Personal preference. I'll put one point in Snakes early vs Rubick so he can't steal my ult. Otherwise, it's just not my thing.
I'll go Linken'sor BKB if the enemy team has an initiator with a blink AND sheep (say, Puck) or a bunch of disables they have shown some competency in changing properly. Otherwise I'll skip it. Because Medusa's ult goes through being hexed (that is, as long as you get it off before being hexed, disabled or anything else), the ult will continue to channel and the enemy will still be frozen and will have to turn or die. Unless a game is going very poorly for the entire team, I'm rarely going to lose a game that goes beyond 35 minutes or so. As with any carry, if you're pushed back into your T3's at 25 minutes, the win rate lowers significantly.
But yea if you have enough space to farm at least one lane, your jungle, and are alert enough to not miss too many ancient stacks with your dominated creep, you should be able to get a bunch of items online in a timely fashion. With fast Phase + Yasha + Dom (11-13 minutes) and those 3 points in split shot (starting around level 7 if all went well) you can clear all the entire jungle in under 60 seconds. Radiant side is preferred because the way the jungle is set up is much more efficient for rotations. I was Dire side on my last outing, but it still went pretty well.
Most questions are answered by checking out the replay. And again, SK and Rubick were the stars of the show anyway. They were all over the map with ganks applying pressure and breaking spirits.