The word is crowded. Rom Patcher JS is Marc Robledo's MIT-licensed browser engine, the one this site runs at a named commit. The page on marcrobledo.com is his hosted copy. rompatcher.app is a different website. It calls itself the official online patcher. That sentence is their branding. It is not the license file in Robledo's repository. This domain, rompatcher.pro, is an independent tool and guide that credits his engine. It is not his site and it is not the app domain.
Symbian RomPatcher+ is older and smaller than the search suggests. The Symbian Toys page describes ZoRn's original and an S60 build, and it says the project stopped shipping. It patches phone firmware in that ecosystem. It does not apply a GBA UPS. If an Android result uses the Symbian name, read the package before you install it. rompatcher.net, when checked, was a Porkbun parking page, not a tool.
ROMhacking.net's old online patcher was a hosted build of the JS engine and is covered on its own status page. Hack64, patchmyrom, and UniPatcher are yet more neighbors with their own names. I keep them out of this paragraph so the four-way collision stays readable: JS engine, .app site, .pro site, Symbian tool.
If you meant the browser button, use the home page. If you meant the author's copy, use marcrobledo.com. If a tutorial says Symbian, you are in a different decade. Related pages: the JS guide, the safety page, and the ROMhacking.net status page.