We have a single Lewmar screen and it's poor in comparison with our current solution:
Buy a reel of self-adhesive "hooky side" Velcro about 1" wide.( or wider and slit to size)
In the companionway and the large deck hatches clean the inner-face of the plastic trim with alcohol or detergent and scourer and stick the Velcro tape on. In the companionway we have a strip along the stern end of the sliding top and the net stows there in daytime.
Buy fine netting or mosquito net material and simply cut a piece with ample spare and tack it in place. Miraculously it sticks well to the Velcro and can be pulled off quickly if one needs to close a hatch when it rains.
Around the small port lights I have removed the trim, cleaned and stuck 8mm wide strips of said Velcro. With an enlarged rectangle of net you can form an insect-proof defence and still have space to open and close the port-light.
In comparison the rotating clips for the "official" screen often fail to effect a good all-round seal.
If it is midges you seek to exclude then netting has to be VERY fine weave. We have watched them land on standard mosquito net, crawl through the weave and fly again on the inside!