Once I tried to buy an affordable drill press (in the 100€ - 100USD range; ~350W motor), but checking the ones exposed at stores I found out that even the ones up to almost 300€ (~390USD) have a play in the chuck's moving column, so gave up.
Recently I noted that these drill presses have a headless screw that serves as a pin guide to the chuck's column (the column has a small cut where the pin travels), and it reminded me that I removed the play on my dremel column by tightening this screw (also adding some lubrication to the chuck's column cut):
Now, can this screw be used to remove the play on these bigger drill presses or one really needs to put down a few thousand for a professional zero-play drill press?

Recently I noted that these drill presses have a headless screw that serves as a pin guide to the chuck's column (the column has a small cut where the pin travels), and it reminded me that I removed the play on my dremel column by tightening this screw (also adding some lubrication to the chuck's column cut):

Now, can this screw be used to remove the play on these bigger drill presses or one really needs to put down a few thousand for a professional zero-play drill press?