Oh they most certainly do as they are either 525/60 or
625/50. While your computer will have no trouble with
this, CRT sets definitely did (but could usually be adjusted).

Modern sets can't be adjusted. The last TV I owned with a vertical hold
control was the Sony KV-1920. The hold had sufficient range to lock to 50Hz
sources. Every set since then has had scan sync locked to the color burst.