As a pipe fitter working mostly in the oil refinery business I have many years experience with grinders. We are heavily safety regulated and have an excellent safety record. They do make thin disk designed to cut, the .045 in particular and the 1/16 wheels also work well to cut. We often cut stainless and other high alloy plate and pipe with the .045 disks. I have worn out many 4 1/2 grinders. I think I have about 6 of them now and a box full of parts from worn out ones. Armatures burn up, usually from bad brushes and overloading, gears chip and break, bearing go out, switches fail. They are considered a semi-consumable in the industry. I run mostly Dewalts. Metobo makes some of the best though. Cheap grinders are not worth it, you will burn up more than one good one cost. I have seen new style Dewalts for under $70. Same thing applies to disks.
Let me also state that you will get much more material cut per $ with a good portaband and good blades than with a grinder. Hardened material of course changes this heavily to the grinders favor. I get most of my disk grinder supplies (and portaband blades) in the form of big oil rebates. Most of the time we are expected to supply our own grinders. but, are handed disks and blades by the box and not expected to return them. We don't.
Here are some basic safety rules.
1. Make sure the disk is designed for your grinder. Pay attention that the max speed of the grinder does not exceed that of the disk. If the disk vibrates DO NOT USE IT
2. Make sure the disk is properly mounted and secured with the proper backing plate and nut.
3. Keep the guard on and positioned between you and the disk.
4. Wear safety glasses AND a face shield (or better yet, a welding helmet with a clear lense). Eye injuries are the #1 injury with grinders! Brush off your face shield and your hair (cap) with your eyes closed. The crap clings to everything.
5. Wear a particle respirator, the disk material is bad for your lungs as well as much of the material you grind.
6. Wear good heavy clothes with no loose material. Hoody strings and the like love to tangle up in grinders. Wire wheels will snag on almost anything. Canvas shirts of the Carhart variety are the way to go. Fuzzy material gathers sparks and grit and lights on fire much easier. NEVER EVER WEAR NYLON while cutting welding or grinding.
7. Use the edge of the disk. Using the face wears down the disk into the reinforcement and when that is worn through pieces of the disk can come off much easier. If you use the face pay attention the the wear and discard when the reinforcement shows. If the edge thins turn it to something and grind until the edge is no longer thinned into the reinforcement.
7a. NEVER use the face of an .045 or 1/16 disk!
8. Avoid dropping, pinching or binding the disk. These can cause cracks and catastrophic failure. They can also cause kick back and result in lose of control.
9. Keep a firm grip on the grinder, especially while cutting, that side handle is your friend. USE it.
10. When cutting with a thin disk don't force it or use much pressure. Light pressure will aid control the disk will last much longer and do more cutting. STRAIGHT LINES ONLY
11. Watch where you are going to shoot your sparks. They will start fires and injure other people.
12. Wear leather gloves while grinding. NOT welding gloves, they are to clumsy and impede your grip. While I am infamous for not wearing gloves and have stated to safety guys that the skin on my hands is in effect heavily tanned hide, a pair of leather gloves will slow down and minimize the injury if the disks contacts you. Gloves do prevent minor injuries. In the case of major boo boos they just keep most of the pieces in one place.
A 4 1/2 grinder is a great tool used properly. It is no more dangerous than the other tools we use. Every power tool you use has the ability to maim you if you get careless. I have spent 40 years in heavy industry, oil drilling rigs, refineries, commercial fishing and bridge construction and even some knife making. I still have all my parts and most of them still work fairly well.

Knock on wood.
PS. A lot of that was due to fast reaction time when I was younger, as you get older and see what can happen you should make much better decisions.