For speed.... I reckon it's about the trunk, chest and arm. You need triceps to push it out - and you need bicep and back strength to pull it back in martial arts style (I'm thinking drills without bags here). Without a bag.... it's quite a shock to stop that thing and pull it back. Especially if you get silly and practice hundreds of them and you are out of shape (I learnt the hard way).
I've never worked on power as such, but on the speed issue - I think that doing some benching, some pushups and trunk work is ideal. Then ease up on that and go concentrate on 1,2, 3 and 4 punch drills.
What I'm saying is that I found weights useful, but it's when you take a break that the speed really appears. It's as if the muscles finally get a chance to fully recover, and your nerves get a chance to get used to the weight.
On power/wallop? Well that's not my area (I've done traditional KF and weights years back). Maybe somebody else would know. We didn't do much bag-work and I'm sure that bag-works is important eh.
Tell you what, working out at a boxing gym is useful. Watch those guys and you'll get some idea. Lots of bag-work, lots of sit-ups, twist-situps. Lots of combos and lots of pushups, with claps. They are real tough-nuts.
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