What phone is it? There may be info online about it.
If you've ever taken a phone battery apart you see a circuit board with one or two chips on it plus passive components.
They're often multi function things which, if you look at the data sheet, you'll see can control and use a range of parameters. Such as temperature , voltage, max charge and discharge rates, shoulder voltages, discharge minimum voltage, and stuff to do with detecting the charge state of the battery.
Some at least do the last by turning off the charging, applying a load to the battery and seeing how far the voltage drops. That has times and voltages which (I guess) can also be varied . (Checked the data sheets for some of the chips.)
I don't pretend to know what's being used now but it has clearly changed, because over the years they've changed the one to two chips they use. Maybe one controls one thing, another another, etc. The last battery I went in had two chips which were capable of doing much the same, so - pass.
If your phone (battery) has a chip which slows charging at some percentage, which would likely depend on the temperature of the battery, that would be a good thing for total battery life.
If you look into battery construction, which is also changing all the time, there's a lot of ion diffusion going on. If you try to do it fast and hot, it gets hotter, gases form etc. They used to catch fire in aeroplanes... Best to control things.
Using my phone as a dash GPS in car in the very hot weather, the battery got hot - something like 60°, (I have an app to measure the battery temp) and it stopped charging. I was on the M1 so turned it off an put it by the aircon. I was concerned that I'd cooked it but it's ok now.
4Ah should give you a darned good usage duration, so don't worry about it.
There will probably be a low power mode on the phone. If not, turn things off when you aren't using them, like off bluetooth, wifi (eg if you're in a car), GPS if you're at home, etc. My Lock screen with a fairly bright calendar on it uses a few % per day.