I tried my daughter with some broccoli florets this evening. She was not in the slightest bit interested, in fact she positively resisted eating them (put some in her mouth originally, made a horrible face, and spat most of it out), although she loved mushing them. I know with blw this is no big deal, just keep offering them to her, so I'm not worried about that, but I did feel that by the time I'd steamed them enough for them to be soft and giving, they just weren't that nice any more - very soft and the tiny flower bits were just falling off and disintegrating.
So the real question - how much do you cook your broccoli (ditto asparagus) before offering it? Until it's really soft or just until it has some give and just let them gum it anyway - assuming they then pretty much won't swallow any of it as they won't be able to get it into small enough pieces to be able to swallow it.
She's 8 months and has no teeth, btw.