Fyodor Lukyanov, editor-in-chief of Russia in Global Affairs, said the incident also wasn't about sending any messages to Russia in particular, because Russia's stance on Syria is already clear and isn't likely to change.
Lukyanov said the plane incident showed that Turkey is "getting really nervous" with hostilities raging near its border. "Turkey is trying to demonstrate how tough and capable it is."
Meanwhile, Russia's and Turkey's growing business ties could suffer, he said.
If Turkey keeps on getting involved in Syria, "the political situation in Syria will have an increasing influence on other areas of their (Russian-Turkish) relations," said Lukyanov. "No one wants to heat this up, but sometimes things get out of hand."
Suzan Fraser in Ankara, Turkey, and Nataliya Vasilyeva in Moscow contributed to this report.