I consider the girly games in the same vein as the modern homebrew titles, in that they count in a full set of games, but they are not part of the official releases.
It all depends what you want a full set of. Do you want a full set of all officially licensed commercial releases (which would be the most common interpretation but certainly not the only one)? If so, then the girlie games don't count.
Do you want all officially licensed software, then you probably want to count the Lords of Thunder Demo and Zonk kiosk disc as well.
Do you want to count everything running PCE-like hardware? Then the LA games count as well.
It becomes a slippery slope because determining what counts and what doesn't is subjective.
Here's my way of looking at it. And here's the criteria I use for a complete set.
1. Is the game I'm playing officially licensed for the territory I'm playing in?
For retail released games and promotional discs like the Zonk and Lords of Thunder kiosk discs yes, as are the LA games.
2. Is the game capable of being played on the standard model hardware?
With all CD-ROM 2 and Super CD games I can play those with the appropriate accessories on an out of the box TurboGrafx 16. LA games only play on the LA with the NEC module. If a laserdisc link up or add-on existed for the standard hardware there might be an argument. While I see them as being NEC family games, they're a different platform IMO.
3. Was this software created with the intent of being sold to consumers?
This rules out the kiosk discs and the LA diagnostic HuCard (if a US version actually exists).