The quote of mine that you first replied to was:
> If your assets are worth less than your liabilities, you're technically insolvent.
Which you disagreed with. It's a literal, factual statement though.
> Yes you can call them insolvent if you want to, but it doesn't mean anything if they can still pay their debts.
It actually does mean something in corporate finance.
> Was I insolvent when the house was down 50k? No.
Stop comparing corporate finance to personal finance, they aren't remotely similar. The only reason that the phrase "Technical Insolvency" exists is because there are consequences if companies breach that threshold.
From the Title 11 of the US Bankruptcy Code[1]:
The term “insolvent” means—
(A) with reference to an entity other than a partnership and a
municipality, financial condition such that the sum of such
entity’s debts is greater than all of such entity’s property,
at a fair valuation
This isn't just parsing terms for fun, contract law relies on US Federal code, which has definite consequences for insolvency. All commercial loans come with a plethora of 'loan covenants' that mandate certain actions based on a company's health. Common covenants include coverage ratios, debt/equity ratios, times-interest earned ratios, etc. Technical insolvency would've breached many, many covenants.
If a loan covenant is breached, the debt-holder can demand additional collateral and in some cases, they can demand full repayment of their outstanding debt. At the time, GE had ~$90B in cash/investments and over $300B in current debt. A fire-sale on those assets to pay off that debt load would have killed GE.
[1] - http://www.law.cornell.edu/uscode/text/11/101