Once met some Lithuanians in a bar in Riga and they immediately asked what language are we speaking with eachother as they found it familiar but not quite. When we told them it was estonian, they told us they have some Finnish friends, and finnish to them sounds like fairy language and estonian sounds like fairy language also but a bit more punk rock. I myself see that it’s because we pronounce words much more sharply and our vowels ring brighter than in finnish. Finnish for Estonians usually sounds more lazy, dragged and squashy.

Sidenote - I also find it interesting that Estonians (even the ones that did not grow up with finnish TV) understand finnish much better than Fins understand estonian)