Okie dokie, have read back and will do what I can to help.
Of course, mostly what I'm going to say is that everyone uses different systems etc etc, but hopefully I can nail it a little more than than.
First things first - similarities between Kettlewell Spring and Winter:
When you had your colours done, if it was HoC, your consultant will have talked to you about toning in with your palette, not matching and only having 36 colours for the rest of time. However, there are colours that tone with your palette that won't be as good on you as the exact matches (I'm thinking here of taking the blues a notch cooler and brighter, since that's the example given - they would tone in well with most Spring colours, but wouldn't be as good on most Springs as the perfect Spring blues). On a blue spring it's not beyond the realms of possibility that they'll still be better than the warm end of the spectrum. I have the same thing as a blue autumn - I'm better in a forest green/navy/grey that is slightly darker than my swatches than I am in the very warm coral/peach end of the palette (this is partly a clothing personality thing too, but I'm not getting into that!). However, the palette that those colours needs to tone with for the Blue Spring to look their best is still a Spring palette - the Winter pinks and greens and acid yellow and ice colours will be far far too stark, even though a handful of blues/greys might be ok. So if you are Spring you are still a Spring, and if you are a Winter you are still a Winter, but inevitably there is a point where those seasons meet (both the brightest clearest colours) and some colours will be ok on both seasons. That is normal and fine and allows our colours to work in real life.
Joycey and Fooogle, with your change in diagnosis:
Yes, not all systems are the same - I know for a fact that one of the CMB Spring palettes has plenty of what I would call very definitely autumn colours in it - far too muted for what I would call a Spring - and one has what I would call Winter blues and greens it - too cool for the vast majority of Springs. I don't know the history of how CMB divide up their colours though, so I can't speak for the thinking behind it.
Saying that, when you have your analysis done I think the most important thing is not that the consultant is telling you one thing or another and you are just going along with it, but that you (and if not you, the other people in your class) are able to 'see' it and agree that the analysis is correct. The information is no use to you after the class if you can't recreate it at home, after all. I always spend a good chunk of time at the tail end of the class discussing how to use the palettes, toning in etc, dividing up one's wardrobe, getting a practice shopping trip in asap to try to recreate the effect we have had in the studio with the right colours etc etc etc. It may be that you 'see' it with HoC, it may be that you 'see' it with CMB, but you should be confident in your set of colours - if you've lost confidence to the point you're seeking a re-analysis, it perhaps won't be a huge shock to find you're a different season (Fooogle I know this isn't what happened to you exactly, but we've discussed this at length by PM so hopefully you're feeling a bit better about it anyway).
I don't necessarily thinking that seeing lots of different consultants is a good solution if you're confident with where you've been put - each company (HoC/CMB/Sci/Art) uses a slightly different system with slightly different swatch books and drapes. The key thing is to start to see it yourself, feel confident that you look good in your colours, and concentrate on recreating that look when you are shopping.
FWIW, I have been analysed (differently) by two different companies, and HoC was the one where I felt confident in the analysis, confident in the analyst herself, and could 'see' it. The other one was much more of a 'you are this, here's your lipsticks, bye bye' sort of approach, and although I didn't necessarily disagree, I didn't feel I had the tools and skills to actually apply using my swatch book IRL. So I have some experience of a change of diagnosis! I also get the odd clients who has experienced the same.
Hope that that helps, just ask if there are more questions, I'll check back later on!