Ultimately, yes that is reality.
I’m not sure Erdogan is living in the real world. His Ottoman Daydream is so real to him, he actually believe he is chosen to do it.
That is a very dangerous thing.
Kurds have no armor. However Syria has armor and aircraft. The Syrian Army is directly across Al-Bab from Turkish Army. The US support for some of Turkey’s terrorist allies has been stopped. So US will not fly air support, it is questionable if Russia will, SDF is now pretty strong and there is another element that could appear. Won’t mention that by name. It is better not to.
There is a lot of animosity against Kurds by Turks in Turkey. Erdogan has been whipping it up big time over the last 1-2 years. Kurdish PKK terrorist attacks have killed far more Turks in Turkey, than the IRA ever did against the British.
Attaturk was kind of a psuedo-facist nationalist, with strong racial overtones which were so fashionable between the World Wars, when Attaturk was modeling his military on the Germans, and adopting a new legal system from the Italians.
Whipping up anti-Kurdish sentiment (effectively launching a civil war against Kurds in Turkey), was how Erdogan recaptured an absolute majority for his AKP party in the legislature, after they briefly lost it. There are serious bad feelings and heated prejudice is common. The head of the largely Kurdish HDP Party was just thrown out of the Turkish Parliament, and hundreds of HDP people were rounded up and imprisoned - perhaps as a precaution before launching an offensive against Kurds in Syria.
The Turks have such a large military, that no one wants to try to stop them, if they insist on attacking the Syrian Kurds. The conventional wisdom in the region is “Let the Turks bleed”, hoping that they tire of it, or that it becomes a domestic political problem. Then if they have to fight, at least the Turks will already be wounded.
The Kurds have a saying: “Arabs, Turks, Persians - our only friends are the mountains.” They survive by fighting hard, and making themselves useful to the various neighbors, as offsets against the other neighbors. Alliances are always shifting over there. When push comes to shove, local Arabs (Syria) and Persians (Iran) would likely rather funnel support to the Kurds, than see the Turks decisively win.
Since the USA is in a formal alliance with Turkey (NATO), we can’t really provide decisive weaponry (Anti-tank, anti-air missiles) to Kurds, for fighting Turkey. Turkey can field 1,000 main battle tanks if they are pissed (or could, before the coup attempt) - the Kurds don’t really have any modern tanks. So Turkey could roll over Kurdish areas if they are determined, but the Kurds could (will) revert to guerilla warfare, and inflict lots of casualties.