IN THE COMMENT: Chip Ahoy said:
This question, amusing as it is, suffers the equivocation fallacy whereby the use of a term with more than one meaning is switched.
The men who complain about women who play games, ridiculous on the surface because men play games too, are referring to emotional games of the sort one of my sister excels. Having such a sister has taught me what to look for here, she glees at her ability to provoke observable emotion in her subject. Jealousy? That'll do. Anger? That works. Rage? Best of all possible observable emotions.
Our hostess knows this, and we know she knows this, but she playfully switches the term from emotion games to formal games within the proposition. So the answer is, "Yes, of course, better games would be an improvement." Games like Lawn Darts at Forty Paces, or Horseshoes Without the Poles, Naked Barbed Wire Twister, Paintball Without Armor, Cowboys and Indians with Real Weapons, Pack One Another's Parachute, Ski the Grand Canyon, Boxing With Gauntlets, Riding Lawn Mower Rodeo, Human Piñata, Hunting on the Island of Doctor Moreau, Beanbags Filled with Nails, Barefoot Jellyfish Collecting, William Tell, Ninjas VS. Ballerinas, Survive the Viper Pit, Chainsaw Badminton, Grenade Tennis, Komodo Dragon Roundup, Geisha High Wire Race, Find the Short in the Flooded Basement, Hide and Go Seek in the Shark Tank, White Water Rafting Tag.