Does any on siphon from cooled wort to primary?

Just wondering if this will help with clarity and sediment.

Right now I literally dump the wort into primary to help aerate but then I shake it like crazy after.

So would siphoning help the clarity and anything else or would it just be a waste of time?

That's how I usually do it. I get tons of break and trub in my kettle but it settles into a pretty compact layer. I just siphon off the top, it seems to also help clarity but that's probably all in my head. Any junk from the kettle will settle out anyway.

My wife helps me with the transfer so this works fairly well. I do partial boils so I'm transferring 2.5 to 3 gallons.
Part of the chilled top off water goes into the carboy primary.
Set funnel with strainer into carboy mouth with a peice of copper wire to release air pressure around the funnel.
Lay out large mesh bag in strainer.
Dump into mesh bag, raise sides up as bottom clogs. Wort drains through sides of bag then.
Almost all of the debris is collected.
Latest Amber Ale and Petite Saison had only a hint of hop debris in the bottom of the fermentor at finish.

I'm going to build a stand to hold the mesh bag to make it a one person operation if it ever needs to be.

I syphon directly from my brew keg into my fermenters. Some stuff is going to transfer over, but not much and it isn't an issue!

I will have to try filtering through a mesh bag like flars suggested. I get all the crud from the boil in the primary and I think it affects the final clarity. The BIAB I use probably will not help - except for the coagulated proteins, it let all the crud through to begin with.

Whirlpooling did not work for me. The cool wort was stirred and allowed to settle for 30 minutes. It did not form a cone, all the fine proteins were suspended in a cloud in the bottom 2 gallons of the kettle. It may be the weldless connection and the ss elbow pointing down interfered with the whirlpool.

I cool my wort before putting it into primary.

After the wort is cooled I usually use my mash paddle to swirl the wort as fast as I can. Then I let it sit for 10 minutes. This gets a lot of the trub to collect in the middle of the pot. I then use my trusty auto siphon to siphon the wort from the very outside edge. There is usually a mound of stuff left in the middl of pot.

IMO if you're just careful when you're siphoning from your primary into your bottling bucket/keg/whatever it doesn't matter if you just dump everything right into your primary from the brew kettle. Just try not and disturb the layer of trub when racking. Never, ever had clarity problems in 7+ years of brewing doing this, although I do use 1/2 tsp of Irish Moss in every batch which helps and I also cold crash.