You are not confused...you just think you are because it sounds so unconventional.
What you describe is exactky what I did when I knew I needed a very large "starter" for my Imperial Stout.
I had only minutes before, siphoned my brown ale out of primary and then, in went the stout wort.
Let me tell you...there was No delay in bubble activity. I saw and increase from about 5 bbles/ min to about 10 in the first hour.
If you think about it, "sanitizing" is not an issue since presumably it was sanitaized in there to begin with. Technically, it is not sanitized since it is teeming with eleventy billion hungry yeasties that are just waiting for there next meal.
So, yes. Go for it.
Just consider if it is the same strain of yeast that you want to use and after a very high gravity primary (1.08+), the reamining yeast may be a bit too pooped to fire up again. Also youve got some hop pellet gunk in there too but since most are doing the trub pitch because they want an etreme yeast count, it often means that they are making something really big and that lefft over hops in there wont impact much. Thats what I went with anyway.
Hope that helps...