OP, I'm trying to figure out what you are looking for.
Is it just because the forums are divided into categories that your question is phrased that way?
My child doesn't prefer a method over another; he wants parents who are engaged with him, both in terms of supporting his interests and in introducing him to wild new things.
Because he is schooled (Montessori; will in all likelihood be public next year), like your child, we're really free to use our at-home time to - be a family that loves to learn. Like most families we know, I have to say.
One of the reasons we did not go with Waldorf (among many) is that I did not want to extend ANY school philosophy into our home; it's one of the (also many) reasons I tend to stay away from trying to homeschool (although I can see that there would be situations where we would try it).
Given that we're covering the basics via a school day, I don't really want to be trying to decide if telling him he needs to write his name on a birthday card is insufficiently unschooly or whether failing to explain the physics behind his hour's worth of play with his marble run is a failed opportunity. That doesn't mean I won't grapple a bit with things, but I prefer to do it based on - our attachment, I guess. How we're feeling that day.
I'm wary of any kind of educational dogma; I don't want to be an advocate for anything but my son's learning needs in the present; I want his present to include learning of course but I also want him to experience the wonderful and wacky world of "unproductive" time at home, just being. I want him to be in a good school, but I know school won't meet all his needs (and wouldn't want it to try).
I won't base my gift decisions on whether something is "Montessori enough" either.

That doesn't prevent me from asking in the Homeschooling forums about DVDs for kids interested in X (PMK was such a great suggestion) or reading about unschooling to remind myself that you can let the child lead, but I definitely don't try to incorporate methods into our home so much as just have a bank of ideas to draw from if it seems like we need some, sometime.
I hope that helps.