Yes, fall is the best time to do soil testing for all of the reasons pointed out in the article. Since fewer tests are being done turn around time is usually faster. Since it can take several months for lime, or sulfur, to correct soil pH now is the time to use these to correct soil pH issues. If the soil needs organic material now is the time to add that so the soil is ready to plant in in the spring and the organic material is not tying up nutrients plants need for growth as the Soil Food Web digests that organic material.

Just don't bother with nitrogen testing, it varies seasonally anyway and leaches away rather fast if applied as fertilizer. All the other more persistent stuff (P, K, micro minerals, organic matter, pH) will likely be the same by spring so as kimmq says now is good time to amend any deficiencies of those.