dghecas You've just entered probably one of the most opinionated subjects on TBN, not referring to or disputing any of the above posters. I'll just try to answer your question and then give my opinion.
3pt hitch parts defined (sort of)
You probably know what the lift arms are - heavy bars with ball socket attachments at each end for connecting to the tractor & implements. extend rearwards from the tractor. These are also attached to the 3pt lift mechanism by rigid or adjustable links.
Drawbar- 2 definitions;
the first is a rigid solid bar, straight or offset vertically, attached under the
differential & thru a bracket under the pto also extending rearward from the tractor but not as far as the lift arms. Sometimes called a swinging drawbar.
the second is a flat bar about 2 1/2 " x 1' thick x 26"+/- long with pin ends & several 7/8" holes that attaches between the lift arm ends.
Stays - again multiple types
Lateral stays attach to the pin ends of a drawbar at the lift arm and to pivot points under the rear axle just inboard of the brake backing plates. May be telescoping tube stock, rigid flat bars, turnbuckles, or chains in tension. All limit lateral movement of the implement but allow vertical movement. They form a triangle(s) with the rear axle housing & the drawbar pin ends.
Vertical stays also attach to the drawbar pins but the top attaches to the toplink pin at the tractor and limit any verticle or horizontal motion as they form a rigid triangle. These appear to be uncommon & unknown to many TBN members but common on older tractors & older TBNers. Must leave the 3pt lift levers in the down position when using these stays.
Drawbar locks prevent rotation of the second type of drawbar, by providing mechanical interference between the drawbar and the lift arms, when applying a load unequally to the top or bottom side ( like a hitch ball mounted on top of the drawbar). Some antirotation devices also connect a vertical member via toplink to provide a member parallel to the lift arms.
I tried to find a picture of an assembly but couldn't. Hopefully the definitions will help if you search parts sources and view the parts.
Now for my opinion. Common sense should prevail when hooking a tractor to any load but common sense comes from knowledge, lack of which can be fatal. The rigid "swinging" drawbar is highly recommended for pulling loads because of it's rigidity and placement below the axle. Pulling loads tend to pulll the front wheels downward and rear wheel slippage should occur before a wheelie does. This is not absolute because the distance from the axle back to the point of attachment is short and with sufficient traction a rearward overturn can occur. The higher the rear tractor wheels the more likely this situation.
The other type of drawbar is often shunned because the 3pt lift mechanism has no downpressure. It will lift a lot but does not resist lifting loads. For example if you were pulling a single axle trailer that had negative tongue weight the 3pt would rise up and the load could push the tractor sideways. Also if a wheelie should occur the tongue hitting the ground would not stop the upward rotation of the front of the tractor. This is where the vertical stays come in to play as they resist the upward motion of the lift arms. This application is more subject to excessive tongue load wheelies than a swinging drawbar because of the distance to the rear axle pivot point.
With each application any pull should be aligned below the tractor rear axle, NEVER above. On this site there are many drawbar adaptations that have potential negative safety flaws. IMO One of the most common is used to move gooseneck trailers, because in the travel position the ball coupling may be at or near the axle height. Take the time to gain an understanding of the forces in play & you'll stay safe, just understand that no method is absolutely safe. MikeD74T