You are partially correct. The idea was to ruin a farmer class in a form it existed in USSR in late 1920s. The implementation was exactly the same everywhere farming was practiced. Not specifically in Ukraine.
Thanks for the Russian point of view, which is of course ridiculous. Most of the victims were Ukrainian. Special lethal laws were instituted primarily in Soviet Ukraine.
"Although famine, caused by collectivization, raged in many parts of the Soviet Union in 1932, special and particularly lethal policies, described by Yale historian Timothy Snyder in his book Bloodlands: Europe Between Hitler and Stalin (2010), were adopted in and largely limited to Ukraine at the end of 1932 and 1933.
In January 1933 Ukraine's borders were sealed in order to prevent Ukrainian peasants from fleeing to other republics. By the end of February 1933 approximately 190,000 Ukrainian peasants had been caught trying to flee Ukraine and were forced to return to their villages to starve."
https://en.wikipedia.org/wiki/Causes_of_the_Holodomor#Deliberate_targeting_of_Ukrainians