First of all, I also want to say thanks for DBeaver.
Next, I agree with this topic, the table filter combo box is amazing in HeidiSQL. I have to work with a database having more than 150 tables. There are many of them with pretty similar names. In HeidiSQL it is easy to click the bottom of the list, modify the regexp in the combo box from "log_*|message_*" to "*client*" and it filters the list of the tables while I type. I mean, it updates the list as soon as the content of the combo box is a valid regexp. It makes the filtering pretty quick, especially if I can pick one of the earlier regexps from the history of this combo box.
The present solution in Dbeaver works, I don't debate it, but it is far less user friendly and far less convenient. If this is a matter of votes then I vote for adding this feature.

Thanks.