Hi there. I thought I'd be helpful and list all of the factual and logical mistakes you've made.
1. one of Europe’s big spenders since Abu Dhabi United took over the team in 2008.
City were purchased by Sheikh Mansour, who used a company setup entirely for this investment called Abu Dhabi United Group. Stating that we were taken over by "Abu Dhabi United" is like stating that Man United were taken over by Red Football Limited or Arsenal were taken over by Red & White Holdings. It makes no logical sense.
2. They’ve paid a premium to bring the likes of Yaya Toure, Sergio Aguero and Fernandinho (among others) to greater Manchester
Outside of your assertion that paying £24m for Yaya Toure represents "a premium", Manchester City are not based in Greater Manchester colloquially speaking. Greater Manchester is the county and a recent invention from the 70s. The "Manchester" in Manchester City and United refers to the city of Manchester, a district formed hundreds of years before Greater Manchester.
3. While Abu Dhabi United adds money directly to NYCFC’s coffers, City gets some FFP flexibility they wouldn’t get if their owners were merely writing checks to the club
"Abu Dhabi United" (and from now on I'll just presume that you meant Sheikh Mansour) cannot add money into the coffers of NYCFC because he doesn't own NYCFC. Manchester City own 80% of NYCFC and any losses would appear on their overall books aswell.
As another correction, Sheikh Mansour is one person thus the word "owners" is incorrectly pluralised.
The speculation on this idea of moving loans in that manner is also completely at odds with the stated goals of NYCFC as mentioned by their CEO and I don't think that it would be specifically legal either. You've also essentially invented wage figures for Javi Garcia and Gareth Barry or have sourced them from places that have invented them. Professional soccer teams in England do not release wage information of their players as a matter of confidentiality. The English press guess and they will freely admit this.
4. How many of Europe’s top teams would pay a one-time $100 million fee to have a permanent FFP work around?
Manchester City currently have one of the highest revenues in the world of soccer and this will continue to grow as the new English TV deal comes into force (which almost doubles the high factor of revenue of any PL team), and the revenues from participation in the Champions League continues to grow. In addition to this, their commercial growth is absolutely huge and they are in the midst of expanding their stadium thus their matchday revenue.
The idea that they would spend $100m on an "FFP workaround" is silly because it wouldn't be legal, it wouldn't be economical and it wouldn't actually work.
Your speculations are baseless and your fact checking is poor.