This will hide the search bar on the website that some people find irritating because it doesn't load until the rest of the page is loaded.

This is not for everyone. However, if you are using http://study.aitech.ac.jp/tatoeba/translate/links.php which has search forms, then the lack of the search bar on tatoeba.org may not cause you any problems. Alternatively, you can bookmark the advanced search page and use it when you need to search. That link is https://tatoeba.org/eng/sentences/advanced_search.