Hi GaryDZ
I replaced my Phantom 3 Pro battery a year ago with a 4500 Ma battery that came with a Balance connector, I did not connect the balance lead to anything, just charged the battery through the power terminals. ( I posted the whole repair operation somewhere on here ).
I pulled the original RC battery apart and found that encased within the battery pack was a circuit board with a number of IC's mounted on it, tracing the circuit lead me to believe that the two separate 3.6 V LiPo cells were and regulated through that board.
The LiPo that I fitted probably did not have an onboard circuit to do the cell balancing, ( hence the need for a balance connector that battery ), non the less I have charged that battery many times without problems.
Periodically I remove the LiPo and check the cell voltages, they are generally within 0.3 to 0.5 volts difference, so no big deal, and because I have the Battery out of the RC, I do connect it to a balance charger just to even things out.
As the battery that you are looking at does not seem to have a balance lead, we could presume that there may well be an inbuilt balance circuit, so no worries.
I would not hesitate to use the battery that you list, but what I would do is install it, and turn on the RC use a rubber band to hold each joy stick into its maximum position and every half hour or so rotate the sticks. I'm not sure that you need to do this to the joysticks, because I think the RC is always transmitting it's carrier signal when it is switched on, the only thing it is not doing is processing the down-link and video.
And anyway if you ensure for the first couple of flights that you have a nice clear landing site and have the RTH set even if the RC went dead the Bird would fly home.
Ah I found my post, check this out it may help....
Phantom 3 RC LiPo battery repair
Waylander