I too am not a tech, so don’t need any of the reverence.
Indeed, like Cashsax says, are you sure that your springs were blue to start with? Which saxophone are you talking about?
The close up with extremely small depth of field shows two springs which do not appear to be blue (nor do they look rusted!).
They might have been even goldplated or (but less likely because they are needle springs) stainless steel. In both cases you shouldn’t be able to blue them (although the chemical that Gordon is talking about might do something to the stainless steel).
If, by any chance, your springs have never been blue and they are not rusty, perhaps you want to blue them because you think that blue springs are superior?
In that case I would most certainly leave them well alone.
Many illustrious companies used gold plated springs (still sold, for example by Music Medic) and few others use stainless steel springs , while there are lots and lots of cheap saxophones using blue springs made in China .
If your springs work and they are not rusty to the core but only superficially, there is no point (!) in changing them until they fail (which might very well be never).