"Baseless" vs. "groundless": are they the same?

What is similar?
Both "baseless" and "groundless" are adjectives used to describe something that lacks foundation, support, or justification.
What is different?
While both words are very similar, "baseless" is more commonly used to describe accusations or allegations, whereas "groundless" is often employed in a slightly broader sense, referring to unfounded fears, beliefs, or doubts.
Which one is more common?

Examples of usage
Baseless- The allegations against him were completely baseless.
- She rejected the baseless rumors circulating about her.
- The baseless claim caused unnecessary panic among the public.
- Their concerns about the safety of the new technology are groundless.
- He reassured her that her fears were entirely groundless.
- The report dismissed the groundless assumptions made by the critics.