I'm not sure if all parabolic louvers are created equal, but those look like good ones, at a good price. When you get them, just make sure the inside walls of the cells are mirror-like in finish as the description says.
Those cells might be a little too big, though, at 3/4". The smaller you go, the more side-glare will be cut. The same company has these 1/2" cells for only $5 more each, so these are the ones I would recommend:
(make sure to get the Grid style, not the Flange style)
This is the spread on 3/4" cells:
View attachment 738558
and this is the spread on 1/2" cells:
View attachment 738560
Besides cutting glare, another benefit is that the light hitting your table will be brighter, since all that light hitting your walls now will be focused downwards on the table.
The only thing I'd warn you about is that you're going to lose most of the direct illumination from your pool light on all the cool posters and signs on your walls, so you may want to think about spotlights on those or dim ambient lighting besides your table light. You will still get light reflected off the table and floor that hits the walls some, which may be enough for you.