I also have a Dillon 550, which I use for bottleneck cartridges.
As has been mentioned, trim to length following resizing, which can cause the case neck to "grow".
You can minimize the need to trim by using dies that are designed to minimize neck stretch. RCBS has an X-Die (?) and Hornady has an elliptical expander. Each of these has a different approach, but the idea is to reduce the tendency of full-length sizing dies to stretch the neck.
At any rate, you can "break out" the resizing operation on a 550 by just removing the brass after resizing (and repriming, if you're using the 550 for that operation as well). There is no need to index around all the stations. If the little retaining wire is adjusted properly, it permits removal at station 1 with just a gentle pull.
Once you have a tub full of resized brass, you can clean (or tumble) off excess lube and check for trim length with a Wilson gauge. Separate the brass into two tubs, "trim" and "OK".
Run the overlength ones through your trim & chamfer tools, and then you're set for the 550 again.
This time, insert the brass at station 1 and index
before pulling the handle. That way the die at station 1 never sees any brass, and doesn't do undesirable things like resize already-sized brass and deprime a primed case.
I've found that by doing the resizing separately, the powder measure throws slightly more uniform charges. I'm guessing it's because the force/vibration of resizing can vary a little, especially if you don't segregate brass by brand, and this might somehow affect the powder flow. The bullet seating operation is very uniform by comparision.
However, the main advantage of breaking out the resizing, IMO, is that you don't run lubed cases through the rest of the stations on your press. Depending on the lube you use, you can have some issues with it accumulating is places you don't want it.
Oh, and if you buy new brass, it usually has to be sized anyway. While the "headspace" length may be correct, the neck sizing usually hasn't been done. Also, the mouth is rarely uniform or chamfered properly. (Now you can get "prepped" brass from Nosler, et al, but the typical Winchester or Remington factory brass isn't prepped.)
While you certainly can remove the die at station 1 after resizing, this kind of implies you have to set it up again the next time you use it. I find the "index before pulling handle" technique works just fine, and that way I don't have to readjust the die.