While your statement is not entirely false, it paints a misleading picture of how the economy at large works. Outside of venture capitalism, credit for running businesses tends to be provided by banks, and banks just create the necessary money out of thin air whenever they find a creditworthy borrower, i.e. a business with a solid business plan and with a reasonable expectation of sufficient demand for its product.
When the overall savings rate rises, it becomes less reasonable to expect sufficient demand for products, which means less creditworthy borrowers, which means less loans given out by banks.
Occasionally imbalances (e.g. too much capital tied up in housing) cause a massive recession
Not quite. The recession isn't caused by capital being tied up in housing. "Putting capital into housing" is just economics-jargon for spending money on houses. And that tends to create jobs in the construction sector.
The recession comes about when private households can no longer use their houses as collateral for loans to fuel demand because the value of those houses is reassessed.
Creative Destruction: it's the primary reason why we're all not planting seeds or hunting right now.
I think you'll find that the primary reason why most of us are not doing these things is actually creative construction. The destruction part is only really beneficial when one gets stuck in a local optimum.