I know what ya'll mean. Here is my 3c
On a large coil or sub-ohm tank the wick/cotton retains the previous flavor for a while but eventually it shifts to the new one. Sometimes 2 tanks. So it is a waste as when the flavors blend is like having no flavor, based on my burned out buds. On the small claromizer coils the shift is much quicker. The most flavor I sense anyway is out of aspire 5s and 1.6coils although it gets boring sucking and sucking with little vapor. Good enough for running around all day with one in your shirt pocket.
Now here is what I find really weird: When I read the write-ups for some of those ceramic coils (Vaporesso?) 0.9s is what I tried twise, I was impressed that they switch flavors fast. And they do, but the flavor I get out of them is a tiny fraction of what I get on the same tank with a same Ω coil but with cotton. What they say about them lasting long it is true. When I eventually bought a second one I wasn't exactly sure if the first was burned or not, that little of flavor. I temporarily switched to a regular coil to see if it was me and BAM! Flavor was strong. So I dissected the original one and that ceramic wick was all turned to black thick dust. I doubt I'd ever buy one ever again. With cotton I get the funny taste the milisecond it gets burned. Who knows for how long I was sucking this burned thing and didn't know it. No screen on top of those either.
One advantage of steaming up anything with no flavor? All these juices I disliked from past months that I kept to give them to friends I started using up. Even some that were given to me new and couldn't take a second heat on now they are all in the atmospere. It is like vaping straight VG/PG base and couldn't even tell those apart except from the cloud volume.
So, yes. it matters what coil you use, what juice you use, what tank you use, the wattage you use, all matter to flavor. And flavor I came to find out is very subjective, more than I could ever imagine. We can eat the same cake and both like it but what we taste is different.
For the cost of juice coils seem pretty cheap, or at least you can keep it with the same juice and have a different coil for each juice you vape. I get hooked on one for a 2 mos and that is all I do, no switching back and forth. But that is me.