If that one is permanently attached to the old carb, that pivot pin is available separately as an attachment. It would have a threaded stud that fits through the hole in the new linkage and a nut holds it on from the back.
Depending on the model/year of the application, that pin would have been an "anchor pin" for a return spring and your linkage would have been a standard bent rod with clip that inserted through it's own hole.
Yours is the more standard modern and aftermarket version where the throttle cable/rod has it's spring loaded clippy doodle thingy that snaps over the pin. Good idea to lube that up when you re-install it.
I suppose there is no consensus whether to lube, or not to lube. And if so, what to use.
I would typically add a dab of grease if i was installing it, or occasionally spray it with something if it was dry and I did not want to unclip it at the moment.
Some do not recommend lubing things like this, for the legitimate reason that it encourages dirt and grit to collect. I personally see a need for lubrication, and a good dab of grease, though sticky and easy to collect grit on, also seals up the pocket and keeps junk out. Including water.
So that's my take on it.
paul