None of that is correct.

If the market cap of Google is a million dollars and a sandwich is $5 and then tomorrow the market cap of Google is a trillion dollars because they wiped out all their competitors and took over the market, the price of a sandwich is still $5 because it's quite unrelated and not affected by the number of search engines or mobile operating systems. Larry Page isn't going to personally eat so many sandwiches that it affects the global price of sandwiches no matter how much money he has. Moreover, necessities generally have elastic supply -- even if demand increased, we could just make more of them rather than raising the price -- unless you cause artificial scarcity (as we do with housing), in which case that's your problem independent of billionaires.

What the consolidated market does affect is that market, e.g. the price and quality of phones and phone apps. But that has nothing to do with what proportion of the company's shares is owned by what number of people. It's just as much of a problem if it's a publicly-traded company whose largest shareholder owns less than 1% of it. And the problem goes away if the market is competitive even if there exists someone who has billions of dollars as a result of owning a fractional percentage of a million different companies -- although that usually isn't what happens anyway because the primary driver of the existence of billionaires is "market consolidates enough to cause one company's market cap to exceed a hundred billion dollars", not "someone invests a thousand dollars each into a thousand separate companies and every one of them beat the market by a huge factor without any of them becoming a megacorp".

Companies are mostly doing layoffs because interest rates went up and using AI hype as cover. The anti-inflationary force is the higher interest rates. And if AI was actually lowering the cost of that sort of thing then you still have to contend with the Jevons paradox.

Meanwhile the hype is causing things to be converted to "AI" even when it isn't any more efficient, which lowers labor demand (suppresses wages / increases unemployment, bad) and increases power demand (higher electricity prices, bad) and to the extent that hype causes adoption of inferior solutions, lowers efficiency (worthless AI customer service, bad). Some of the AI stuff is useful but the hype is causing folly.

Migration isn't particularly deflationary, especially with respect to housing prices since the new residents then increase housing demand, which is fine when construction isn't constrained by zoning but bad when it is, and right now, it is.

Most of the outsourcing that can reasonably happen already has, in large part because the US housing market (and therefore cost of living) has been out of whack for a long time, which makes US workers less competitive despite what would otherwise be various countervailing advantages. Things are made in China because they fit on a container ship, but that happened decades ago. Nurses and landscapers and firefighters and plumbers are still domestic and that isn't likely to change.