If you notice your site is taking a long time to load, then you should first use PageSpeed Insights to see what can quickly be optimized (also check your file sizes, hosting server, NGINX and other common sources of slow speed, too.) And, if you've notice gradually fewer Organic Search visits, PageSpeed Insights might be able to help. As Google is reducing the prevalence of slow sites, you could be losing traffic. Speed up your page load times by finding what is blocking renders, slowing down contentful paints, and other critical page speed signals.
SEOGadget is ideal when using vendors like Moz and Majestic for analysis of your backlinks. It is not the tool to use if you need to gain more backlinks or want to increase your backlink. It can help you edit your backlink profile and understand where the links come from. It is probably ideal for in-house teams studying larger sites with lots of links and trying to understand their link partners, or an agency/freelancer that needs to import data from multiple sources to help clients with link profiles. It is not the tool to target new link opportunities, but with some ingenuity you could probably use it for this if you an access your competitor data. It's also good for anchor analysis which is something few teams really look into.
I think GTmetrix has some feedback that PageSpeed doesn't provide, but Google's tool is easier overall and has a better user experience; also offers compressed images, CSS, and javascript files if that's the case. Also, Google has extensive documentation to help you better understand what can be done to improve your grade.
This includes more data and makes backlink analysis easier because you don't have to build sheets and tables from scratch. While it doesn't directly compare (it uses some of these services) it is better suited for the custom analysis of data and that is a big help when you do a lot of data manipulation. It's easier and more streamlined than Knime, and Knime does not allow you to import directly from Moz or Majestic so a step is saved here. It can't do as much as Knime but most of the things you want to do it can do, and you can do them faster.
It is hard to quantify this realistically but it does save time and that is big
Importing data is a time suck, so the only real advantage here is the ability to do two or three imports instantly without downloading and visiting three sites, this could be expanded for even more ROI
We haven't had any negative impacts as this is mainly a time saver