[MAJOR] get rid of SV_STANALYZE (step 2)

[MAJOR] get rid of SV_STANALYZE (step 2)

The SV_STANALYZE state was installed on the server side but was really
meant to be processed with the rest of the request on the client side.
It suffered from several issues, mostly related to the way timeouts were
handled while waiting for data.

All known issues related to timeouts during a request - and specifically
a request involving body processing - have been raised and fixed. At this
point, the code is a bit dirty but works fine, so next steps might be
cleanups with an ability to come back to the current state in case of
trouble.