Can you still do the spinning method with the cap condom filling method?
Could you still do it? SURE, question is DO you NEED to? Maybe that is what you meant. I'm a relative "newbie", but really like the "CCFM" you mention for CARTOMIZERS. The spinning has it's logic as you can tell from a 40 plus page thread. Since I prefer not getting into the carts, opening, filling, spinning, then adding more juice etc., I like just pushing the juice up through the cap end, I leave the little .... plug loosely in the atty connection hole, and as I push very, very, slowly, when the juice gets near full, it pushes the tiny rubber .... plug up, and I then remove it or it simply falls out, and then I look to see the first drop of juice just appearing in the atty hole end, and STOP pushing the juice condom. If I have to take a paper towel or Q-Tip to clean the connection end, it's no big deal. I then blow very easily from the connection end to make sure the entire hole is clear, and you can see all the way through it. A bit of juice can come out the cap end when you blow, that's the idea, again just a quick wipe, putting an empty 801 tip on the end of the carto will keep any juice out of your mouth anyways if it worries you.
So to answer "our" little question. I took a carto that was getting a bit sour, this is one I reloaded earlier. I dropped 20 drips of PG juice from a 10ml plastic bottle, into the empty rubber carto condom. Pushed the carto down, and it got "full", juice coming out the top, but did NOT take all 20 drops.
DISCLAIMER: The test would, perhaps have been more accurate if I had opened the carto to actually look inside before refilling to see if there was any visible juice, but I did NOT do this, too lazy.... and I wanted to leave some fun for you to try and report back!
So now I had to devise my "spinner". Lots of good ideas in this thread, thanks to Taryn! And I can see in her posts, like me she goes the simple route. No need for me here, to get into mechanical devices, or assembly line production, though thats cool too. I found an old thin aluminum metal cigar case/holder. The kind good cigars used to come in, not sure if they still do. The diameter is perfect for carto's, and the length I had will fit about 5 carto inside, best part is the top screws on. Drop the cigar case into a long thin sock, (just like Taryn's battery bags, only longer and thinner), and another good part is NO one will ask me to post a picture of my "dirty sock"!

SPIN around 15-25 seconds. I then RE-DID the condom juice loading to see if I could get the small amount of juice that did not fit in on the first refill attempt. Some more fluid did go into the carto, but not all of it. I estimate that of the original 20 drops, 13 went in on the first refill, and maybe only 4 more on the second attempt, as I still had about 3 drops that would not squeeze in.
My CONCLUSIONS: (based on a carto that has been refilled already, and run not totally dry, which we know is NOT good.)
Seems to me, if you have no problem with the extra time and effort in removing the caps, and filling however you like to put it in, bottle, syringe, etc., then spinning, then adding more, you will most likely get MORE juice in the carto that way. Might be good if you are going out and want or need MAX capacity, again the tradeoff is the extra effort. For me personally, it seems just using the condom method of pushing juice in, works for my needs, and is less time and effort, one step, and done.
NOTE: I most likely WILL continue to spin though, as the added benefit of compacting the juice and distributing it evenly inside the carto could be worth it for better vapeing overall. Since I completely avoid the cap removal replacement steps, spinning the carts is no big time factor, and you might skip it if you are in a hurry.
A real good test (sorry I don't have a new "empty" carto) would be seeing how much you can get into an empty carto, using the condom method and spinning, and trying a 2nd condom refill, as I did above. All my little test did was prove to me that on a carto that was most likely NOT completely empty in the first place, that after spinning, I could NOT get much more juice into it the 2nd time, at least not enough to make a 2nd refill worth it to me. Your mileage may vary!