Just because in theory lithium cells can be charged very fast doesn't mean all batteries can be done at the same rates. It's actually better to fast charge than to slow charge (and trickle charging isn't possible with lithium) but only up to a point.
Check with your manufacturer.
The exact rates the battery wants will depend on chemistry, temperature (ambient and cell), the value of short circuit PTC they use, construction. If you exceed the cell's critical lithiation rate you risk stress that can permanently damage the electrodes. So a good manufacturer will know their characteristics and build a battery that protects itself from damage and the potential thermal instability (boom!).
The charge mechanism is different than lead-acid, which is self regulating and voltage driven. You know state of charge and condition based on terminal voltage and the only risk is forcing too much current into the battery and the generated heat causing the electrolyte to boil. It's actually difficult to damage a lead-acid and even more difficult to create a dangerous situation (which is mainly boiling and venting hydrogen gas).
Lithium is current driven, it will just keep trying to charge even beyond the point where it's fully charged so you have to watch the current to know it's charging state and when to stop. Terminal voltage isn't a conclusive indication of state of charge unless you charge at very slow rates (typically a rate around 20% capacity). It's comparatively difficult to damage lithium batteries but much easier to create a dangerous situation because the cells themselves can become unstable.
Your charger needs to be matched to capacity and it's best to have a fail safe time-out. This is why batteries intended to drop in for automative lead-acid have a battery manager built-in. They deal with all of this based on a set of assumptions about the vehicle charging system, voltage, available current, etc. When you use a lithium battery stand-alone you have to provide the right charge profile and safety parameters for it. There will be a range of currents that will overlap based on capacity, e.g. a 100A-hr lithium at 0.5C over say 0°C to 40°C is generally going to be safe for most of them so you're not hemmed to a single charger/battery necessarily.
But check with your manufacturer.