Since when did an example of a game reusing its core mean needing to have a company backing you? This is an excuse, not a reason.
A company backing you is needed to have a big dedicated team working on these "little" tweaks as their day job. Such tweaks require a few orders of magnitude greater time and resources than two indie devs affected by war, economic crisis and health issues will ever have. You're basically asking us to perform on par with Nintendo which is one of the greatest and largest gaming companies in the history of video games. Isn't that a bit too much? :)
I used Pokemon as an example. You are going out of your way to take what I say the wrong way. An example is what is used to show a similarity. Go to your local school and ask a teacher to explain what "example" means if you do not understand me.
Pokemon Blue, Red and Yellow are the first games. They are the core system to the games. Pokemon Sword and Shield are the new games. They still use the system of the first games, just improved.
Final Fantasy Tactics is the first FF Tactics games. It is the core system. Final Fanatsy Tactics Advanced is an improvement upon that system.
Fire Emblem is the first Fire Emblem Game. Fire Emblem: Three Houses is the newest game, and uses the same core system with many improvements and differences.
Dungeons and Dragons first edition is the first Dungeons and Dragons tabletop game. Dungeons and Dragons 6e is the newest version, which uses the same core system with many, many improvements.
The examples are endless for how a core system can be improved upon without removing the core system. It does not take a company to make improvements to something. Any aspiring artist will tell you the same thing, as the artist themself is the core system, and the improvements they make are through learning, with they themselves remaining who they are.
There are tons of reasons, if you actually know anything about how life works. If something becomes cliche, it is because it is successful. If something gets used all the time, it is because it works. You're literally saying that you are against doing anything that is proven to work.
Would you make a horror game that has no ominous tone to it? No jump scares of any kind? If you don't use an ominous tone, or jump scares, or anything scary, then the horror game you make would be... Not a horror game.
Would you make a puzzle game that has no puzzles? Nope, don't think you would. Otherwise, it wouldn't be a puzzle game.
Those are only two examples of ideas being reused. Since you're against using ideas that have already been used, you are literally saying that you are against making the new site. After all, the new site is apparently a puzzle game with dating sim properties. Puzzle games need puzzles, and you're against using things that other games have already used.
By the way, you just stated that there will not be battles on the new site. Puzzles are not battles, they are puzzles. Ask any person with any knowledge at all about this. Teachers will tell you that puzzles are not fights. Battles are not puzzles. So even though you claim that there will be battles, you are saying that there will not be any battles at the exact same time.
Rock-Paper-Scissors is not tactics. It is not strategy. It is a guessing game. If you do not underand this, please find a local kindergarten and ask a teacher there to explain this to you.
I love strategy games. The Fire Emblem game series is fantastic for strategy, so you should take a look into those games if you want to understand even the first thing about what strategy is.
Numbers are what damage is. Being against damage is being against a game that has combat of any kind.
Why are you so dead set against a game being fun?
"Yes, we're against grinding and elapsed time being more important than game skill and planning."
This site has NO skill to it whatsoever. The only "planning" a person does is laying out which creatures to breed to get the genes they want.
If a game is fun, people will want to play it longer. You are against people playing for expended periods of time, thus you are against people having fun. If you do not understand this concept, please, find a local school of any kind and ask a teacher there to explain it to you.