There isn't great evidence to suggest that electric toothbrushes are much better at removing plaque than manual. E.g. this metaanalysis [1] found basically no difference.
There are also studies that show that electric is better, like this meta-analysis that found a small effect [2] and this Cochrane review. [3]
What I generally read in articles is that the single biggest thing that makes a difference is brushing for the full 2 minutes, and electric toothbrushes can help with that by having a built-in timer.
1. https://pubmed.ncbi.nlm.nih.gov/38348549/
2. https://pubmed.ncbi.nlm.nih.gov/34877772/
3. https://www.cochranelibrary.com/cdsr/doi/10.1002/14651858.CD...
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Perhaps there's a selection effect where people who buy electric toothbrushes are pre-disposed to care more about dental health.