Ok, so you at least have a workable method...
Yes, the pre-lubers are neat and fast...I just did two more boxes maxi-hunters (40) and it only took 5 minutes...I lay a sheet of aluminum foil on the counter, dump the conicals out of their boxes into a pile, run them through the luber letting them drop back onto the foil, and at this point still haven't touched any lube.
Then I pick up the bullets and set them back in their boxes, wipe my fingers with a kleenex, roll it up in the foil and drop it in the trash.
FYI...lube used on the "pre-lubed" TC maxi-hunters is different (firmer) than the lube in TC's tubes...lube from the tube is softer and a little messy on the bullets so you'll probably want to consider a carrier for hunting...
I use TC's 4-N-1 Magnum Quick Shots for everything, which also ensures that conicals are started perfectly straight in the bore.