I am not really understanding the question.
Is it that you are concerned about the numbers changing or the colour changing?
Why would you expect them not to change in either case?
In the first case corresponding numbers for each colour are different in each colour space.
In the second case you are going from a big colour space to a small one and the colours outside that space are clipped off. Depending on the rendering intent either only those colours are clipped or all colours are shrunk down to fit in the smaller space. Either way the colour changes. I visit a lot of camera clubs and you see print competitions where many of the prints have a magenta tinge.
Unless you are a portrait photographer (where all tones do fit in sRGB), don't use sRGB. Even then, why do it. To me it only has a purpose on the web where colours are seldom as they are anyway.
If you disagree, no need to tell me, please continue to use SRGB.