No, if you do a little research you'll see that Techinsights provide absolutely no justification for the component prices that they cite, nor do they explain how they could know what prices Apple (who buy electronic components in 'better-build-a-new-factory quantities', and who's consumption of commodities like flash memory is a major influence on market prices) have negotiated for those components. In any case, the whole BOM issue is pretty much moot without factoring in up-front R&D and tooling costs and somehow knowing how rapidly Apple need/plan to recoup those.
...and on that, I'm inclined to believe him, because it makes sense.
Best you can say from those figures is that the Homepod uses more expensive components than the Amazon or Google equivalents... which you could guess by walking into your local electronics store and picking the things up.
From the Bloomberg article:
OK, he would say that wouldn't he - but what he's saying makes sense whereas Bloomberg/TechInsight's claims don't: Amazon/Google are shopping/advertising companies who have every incentive to sell smart speakers and STBs at low margins, if not as loss-leaders, to promote those services (I have an Amazon Fire TV, and although its certainly better value than an ATV it leaves you in no doubt that it is primarily a cash register for Amazon) - Apple's business is still selling high-margin hardware (services only about 13%) and predominantly iPhones at that - they've no need to take a hit on Homepods and ATV when they're aimed at people who've already shown their willingness to drop $1000 on an iPhone.