Absolutely correct.
They also stop your stomach from digesting food properly - as the proteins are not broken down quick enough, make your oesophagus go into spasm (as well as solidifying any fat that's in there - turning it into a solid - only for it to stick there making you cough more - and unable to swallow it down quick enough to digest)
Cold drinks also irritate your lips - which causes them to dry out / and more importantly - make them more susceptible to cold sores and broken skin.
Last but not least - any liquid that is not at body temp (or is very low) - around 0-4 degrees C - will not only damage gums, but will also cause hairline fractures in the teeth enamel and cause structural problems in the dentin - making you more likely to need fillings / crowns etc.
Drink that cold stuff all you want.........