The back of the mower must be able to travel up and down in relation to the front of the mower.
If the top link is too short, as the rear drops to follow the terrain, the top link becomes tight, and lifts the rear wheels off the lawn.
It was mentioned that you could run with no top link.
Without a top link, you can never lift the rear of the mower.
How do you go over a stump, rock, or other obstacle? Mow around it?
How do you travel down the paved road to mow your daughters lawn 1/4 mile away, if the wheels of the back of the mower are touching? What, travel 5MPH so you do not destroy the gauge wheels??
How would you cross a ditch ??
You need the capability to lift the mower, unless,, again,, you are on a pool table.
There are other answers, like the kit that will adapt the mower to a quick hitch,,
but, those answers cost $$$.
Here is another pic of a different Woods mower that I have owned,
the same answer for that part.
View attachment 710715
A simple cut of the swiveling part, and drilling the new holes costs almost nothing.