1. & 2.This plugin is pure chaos. The WordPress options pages are organized in a peculiar manner—it took me 20 mins to figure out where to “logo image” should go.
Most likely you have not looked at the FAQ.
We have information about that right here on the product page
The settings are divided into global and preset settings. You can find the ability to upload a logo image in the global settings.
Here are some other things I absolutely can't stand about this plugin
So let's get on with it together
3.No SVG support for logos.
The Groovy menu doesn't prevent to adding SVG images, WordPress doesn't allow this feature by default for security reasons. However, if you install a plugin that allows adding SVG such as "SVG Support", "Safe SVG" or similar plugins, you will be able to upload and add SVG logo in the Groovy menu.
You can find detailed Information about that in FAQ too
4. Styles aren't consistent—they won't inherit from other settings or other screen sizes. You have to set them every time.
Unforunatelly isn't clear that you mean, can you get more details?
In any case, there is possible to duplicate any preset and keep all the settings you need.
5. The dropdown for desktop has a background with opacity to cover the site, BUT THE SIDE MENU DOES NOT. IT'S REALLY AWFUL.
I not understand what you exacly mean, There is possible to customize any background for mobile and desktop.
6. The logo goes away on Mobile when navigation is opened. ew.
This effect is only appearss with enabled "Animated Hamburger" i
You can disable it here
Preset settings > Mobile menu > Mobile options > "Animated Hamburger"
7. Honestly, this plugin is all over the place and the code is questionable and there's no heirachy. It just seems like a basic menu that had extra stuff built onto it over time and now it's a giant mode podge.
This is not true. The plugin was created according to the principles of WP Way
Notice: The plugin has a FAQ and a Manual with answers on most popular questions. As well as video tutorials.
Also remember, you can ask a refund, If you don't feel satisfied