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I have not seen any program say explicitly do not test for sql injection, but use common sense you dont need to dump the whole database to prove sql injection.
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read here Researcher Resources - Tools, watch level up, go on thebugcrowd leaderbaord and follow the top guys on their twitter, a lot of them have some type program or script they have wrote on github and read their blog posts, many have a medium.com page. many of the tools on kali are now more often updated on github for example if you use sqlmap on kali and run sqlmap --update it advises to use github.
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you can use https://google-gruyere.appspot.com/ which is a live website to practise on, or watch this to install mutillidae and xampp on your kali box https://www.youtube.com/watch?v=CWThOgW4iZM but if you do decide to use mutillidae get the git version by pasting this in your terminal git clone https://git.code.sf.net/p/mutillidae/git mutillidae-git
good luck