Along with the other fine answers, I would add that one term may be more suitable than the other, depending on how it is used.
For example, I was recently teaching some basics to a beginner and the conversation included statements such as:
“Due to the voltage drop of R1, the voltage at point A is now...”
“What is the voltage across R1?”...
In the first case, I used “voltage drop” to help keep focus on the fact that our reference for the calculation we’re interested in (i.e. the voltage at point A) is still ground.
And I used the other to imply that the reference is just beyond the element R1.