That's your fault, not the fault of the concept of pronouns. In the thread above, teachers and people working in international companies both explained benefits to having pronouns listed that have nothing to do with gender expression. So, your assumption is flawed.
Secondly, let's consider your terminology: "Basic reality"; "force others to play along"; "pronoun game". Consider this scenario:
You: "Hi, are you Matthew?"
Matthew: "Yes, but actually I prefer Matt, could you call me Matt?"
Do you:
A: "Sure, no problem. Hey Matt, Joe said we should discuss Project Foobar, etc"
B: "No. Your name is Matthew, this is basic reality. Why are you forcing me to play along with your PREFERRED NAME GAME?"
I think we all know the answer to this question.
How is this different from: A new coworker starts on your team named Chris. They seem to have some masculine features but they also have long hair, are wearing makeup and a dress. But you are pretty sure they were born male.
You: "Hey, let's organize Chris's Welcome Lunch. Does anyone know his food preference?"
Your coworker: "Actually their pronouns are she/her."
Do you
A: "Sure, does anyone know her food preference?"
B: See B above.
If you think the situations are completely different, here's a third scenario. Chris is a butch woman with short hair, not a transgender person.
You: "Hey, let's organize Chris's Welcome Lunch. Does anyone know his food preference?"
Your coworker: "Actually, Chris is a woman."
What's the difference? Why is your opinion on gender expression, transgender "ideology", chromosomes, or anything else of the sort matter at all?
This is just basic human socialization 101. Treat people like they ask you to be treated in situations where there is no extra cost to you. That's it. It requires no more difference or effort to remember than in any other social circumstance separate from pronouns.
Appendix:
Yes, I am aware of the extreme exceptions. I'm sure you can find me some angry tweets from trans people who overreacted to some situation or another. But let's remember the context. People are angry because the basic human decency I described above is NOT offered to them. So yes, there are misunderstandings and chips on shoulders. But we don't need to base policy or perspective of opinions based on extreme outliers on twitter.
There are people who believe they are God (There are people who believe htey are Attack Helicopters, I'm sure). But they are very few and far between. We ignore them, we marginalize them. Or, best case, we treat them.
Now, I'm not trying to open the pandora's box on the medical community's perspective on transgenderism. We can have this conversation after, but I am deliberately focusing on pronouns for a start.
Because when it comes to pronouns, in English-language society, we DO treat people based on gendered pronouns - male and female ones. Basically 100% of our time, 50% one, 50% the other.
So a person who is asking to be addressed as "My saviour" is asking for unique preferential treatment that you are likely not offering anyone else in life.
A person who is asking to be addressed as the gender pronouns of the other gender is asking to be treated the same way that you already treat 50% of the people you encounter, just to be re-categorized. And that's not a big ask because in the VAST Majority of cases you encounter, that person will already be presenting MOSTLY as the gender that they are asking to be treated as.
Now, you might say that being asked to be treated as a different gender than you are born is just as unusual as being asked to be treated as a God. But we don't even need to get into the statistics of prevalence to recognize that the numbers are not relevant. You already have to go through life learning 1) people's names, 2) people's nicknames, 3) people's gender when they are ambiguous or deliberately provocative. This is common metadata you remember about people.
Part of existing in society is learning other human's social characteristics, and incorporating them into how you interact with them. Pronouns are not meaningfully different.
Sadly it's not a surprising experience for me anymore dealing with people that argue against progress.