They are not as related as you think. Spontaneous Generation relied on living matter that was decaying, whereas abiogenesis does not.
To address the statements you are quoting, I would first like to ask for citations on where they come from so that I can consider the source and insure you are not quoting them out of context, but I'll give you my thoughts beforehand.
The first is a definition, and the word 'classical' jumps out at me right away. What exactly are "classical notions" of abiogenesis, maggots from rotting meat? Without more information I cannot comment further, let alone agree or disagree.
The second is an oversimplification. Sure both theories describe the same thing, but the mechanisms are completely different, as I stated in a previous post. I will not repeat myself here.
The third is the one I really want to citation on. As I suspect it is either not addressing modern understanding of abiogenesis, or is a deliberate attempt to lump them both together in an effort to discredit current research.
Like others have said, please take the time to read the wiki entry on abiogenesis, it would probably help to clarify some of the misconceptions you have about it.