Lol inverters aren't bad, they just aren't as robust as a transformer. They rely on advanced single piece circuit boards, that are then dipped in epoxy or the like to make them impossible to repair. So if a board goes out, you will spend a ton on fixing it. If you wanna drop some coin and get one, they do make good ones, and will serve your needs just fine. They have become very common in construction, because they are small, lightweight, and are new (about all the welding companies make anymore). A used industrial machine will cost a fraction of the price, and will work till the end of your natural life, and then possibly outlive your children as well. I'm not sure what you are aiming to get, if you say which models I'll be able to tell you more. Many of them have a contactor for tig shielding gas, which is a pointless waste of money and source of future problems. Every tig rig that I've used industrially is simply a hose connected to a tig hose, with a simple screw valve on the handle. You turn on the gas manually before you start welding, then shut it off manually when you are done. They are either setup to accept the twist connection of the welding leads, or more commonly have a spot where you literally clamp the welding stringer on to, and then slide a duct tape covered Gatorade bottle over it so it doesn't arc on everything.
Look it's like this, what do you want to weld on? If you want to weld together new things with clean metal in the flat position in your shop, your existing MIG welder will do just fine as long as the metal thickness is under a quarter inch. If you want to repair stuff ranging from cast iron to steel, from thick to thin sections, you're going to want to stick weld. This is simple fact, coming from a guy who makes over six figures a year doing this, not some guy on YouTube that thinks he knows what's what. An inverter machine we'll run stick rods just fine, but it will be lacking on 6010 but you will probably not even notice it. The highest price welding machines out there today welding are designed for welding stick rods in very critical and demanding applications. They cost 5 times what a regular stick machine costs. If you are going to spend the money, I would personally like to guide you into getting something that will actually pay off in the long run, rather than a trouble filled lemon. I bought my machine in a junkyard for $500 and with a little work to it, I have something that allows me to make more than that a day. It will last my entire career (with another possible motor rebuild) and will be around for my kids to work with. While you don't need a machine like this, you should get something that will actually work, rather than something you will fight to weld with.