Mr Osborne has claimed that constitutional uncertainty is a cause for concern among some potential inward investors.
It is therefore worthy of note that we have, in recent weeks, had two big global companies express a belief that the proposed 2014 referendum on independence will not affect their investment decisions or their businesses.
One of them, oil and gas services company Wood Group, is a Scottish-headquartered company with significant operations across the globe. The other, drinks giant Diageo, is based in London but has major Scotch whisky operations north of the Border.
Wood Group, announcing a 56% rise in underlying interim pre-tax profits to $160 million, expressed confidence in the outlook for the North Sea over coming years.
And it declared: "We do not consider that the outcome of any independence vote for Scotland will have an impact on the business."
Diageo, which is investing £1 billion to boost output of Scotch whisky, meanwhile declared through chief executive Paul Walsh that its plans would not be affected by the outcome of the independence referendum. Speaking as Diageo announced an 11% rise in underlying annual profits to £3.2 billion, Mr Walsh said that the company would work with whoever was responsible for governing the country.
And it is not that Diageo is just being diplomatic towards the SNP Government, with which it had a major run-in over the closure of its Johnnie Walker whisky bottling plant at Kilmarnock.
While apparently relaxed about the issue of independence, Mr Walsh remains far from chilled out about the Scottish Government's policy of minimum alcohol pricing. He believes that this will penalise responsible drinkers, and could hamper efforts to further ramp up exports of Scotch whisky.
Wood Group and Diageo are both in the happy position of having businesses which are well insulated from the general UK economic mess, one which Mr Osborne appears unwilling or unable to put in place policies to sort out, having sent things in the wrong direction for the last two years.
Wood and Diageo have businesses with impressive global footprints, the benefits of which are evident in their profit growth. Wood is reaping the benefits of all the action in oil hotspots around the globe. Diageo is, meanwhile, enjoying surging sales of Scotch whisky in south-east Asia and Latin America, although it is also managing to achieve growth in some European markets.
And, to some extent, both are hooked into Scotland – Wood because of the North Sea, although it has plenty of geographic choice these days given its spread of operations, and Diageo because it cannot produce Scotch whisky anywhere else.
That said, you would expect that Wood and Diageo would be speaking up if they had serious concerns over the Scottish constitutional issue.
Wood has not been slow in the past to take up the fight on North Sea taxation and Diageo, as mentioned, remains vociferous on the issue of minimum alcohol pricing.
And, while Wood and Diageo have advantages over many businesses in terms of being less reliant on the troubled UK economy, these are presumably the kind of big, sophisticated multinational companies that Mr Osborne is thinking of when he talks about threats to inward investment in Scotland thrown up by the independence debate.
What's more, Scotland has been doing very well on the inward investment front.
Research published in June by accountancy firm Ernst & Young showed Scotland generated more jobs in 2011 through foreign direct investment than any other part of the UK.
The research showed that 5926 jobs were created through inward investment last year in Scotland, up about 50% on 2010, when Scotland had also been the top-performing part of the UK on this score.
It should be noted that it was in May 2011, in the wake of the SNP winning a majority at Holyrood in the Scottish Parliament elections, that First Minister Alex Salmond declared that he would be holding a referendum on independence.
This declaration appears to have had no significant detrimental effect so far on inward investment.
It almost goes without saying that, with the UK as a whole back in recession and showing no signs of getting back to any decent underlying growth in the near term, inward investment is crucial.
Rupert Soames, chief executive of Scottish-headquartered international temporary power company Aggreko, has been among those who have called for thorough economic analysis by the Scottish Government to inform the independence debate. This is entirely sensible, and it will be interesting to see what is brought forth on this front.
In the meantime, the comments from both Wood Group and Diageo are very interesting. They signal that big multinationals, which operate in so many different territories around the world, might be more relaxed about the whole Scottish constitutional question than Mr Osborne appears to imagine.
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