Contact the seller in you first link and ask if the pad is 9 volt or 5 volt. If it is 9 volt the battery is fine.
I can't agree with you here, having a 9 volt
charger means it will have two 3.6 volt lipo cells inside that are wired in series (making it a 7.2volt battery). Having a 5volt
charger means the FT will have two cells wired in parallel inside, making a 3.6volt battery but with twice the capacity of the '9 volt' version.
What is important is the capacity of the cells and the current drawn from those cells. Let me introduce you to a little, but very important formula..
V=IR
This is basically Ohm's law. V=IR tells us that for a given load (R) if you double the voltage then you use half the current, so your '9 volt' FT3 actually draws half the current from the battery as your '5 volt' FT3 (all other things being equal, which they never are but basically it holds true). So as the '5volt' FT3 has two cells in parallel, the capacity of the battery is twice that of the 9volt FT3 (providing they use the same capacity cells) but the current drawn is also twice that of the '9volt' FT3....ergo....the duration of the batteries remain broadly the same.
The correct capacity specs for a 9 volt FT3 will be around 3200mAh and the capacity specs for a 5 volt one will be 6400mAh. In the CG supplied FT3 they claim 8000mAh, so the cells used are 4000mAh each and, if you believe the figures, MUST be slightly physically larger than the 3200mAh cells of all the other manufacturers. Personally, I doubt there is any difference between the 3000, the 3200 and the 4000mAh claimed by these Chinese manufacturers.. it just depends on how they measure the performance, and the Chinese are not exactly known for their honesty at claimed performance specs!
Modern electronic switch mode voltage regulators are so efficient that the manufacturers can use either 3.6 or 7.2volts to power the regulators without suffering heat issues, and they all output 3 volts to power all the logic circuitry inside.
Anybody else know of a reason why the manufacturers choose 7.2volt over 3.6volt? Maybe different screen requirements?
So ...IMHO.. the 5volt - 9volt question is largely immaterial in the 'what is best' stakes, providing the charger matches the cells inside......5 volt is more convenient as USB is 5 volts and there is the possibility of using some USB equipment to power a 5 volt FT3.