Lithium isn't fussy at all about charging, it's more about applying enough voltage for long enough to allow the BMS to balance the cells.
Charging to just 13.6 volts will charge to over 95%, charging to 13.75 will achieve 100% but a lot of BMSs won't start equalising the cells until 13.8v or over. The vast majority of lead acid chargers exceed that voltage including either setting on the EBL charger so either will work, just don't leave it on float for weeks on end as Neil suggested.
Upper voltage isn't critical either, I've seen lithium manufacturers suggesting anywhere between 14.2v and 14.8v. I've seen research suggesting that there's no detrimental effects of charging to over 15v. Again virtually all lead acid chargers fit the bill. So the only reason for swapping out a lead acid mains charger would be the lead acid charger has a maximum Ah limit because this suggests that the charger could overheat or get stressed if it's running continuously for too long. Because Ah per Ah lithium charges at full current for longer than LA then any Ah limit on the charger should be dialled back somewhat, I'd suggest a 50% rating so apply a 100Ah lithium limit for a LA charger rated at 200Ah just in case. If there's no Ah limit then technically the charger is continuously rated and there's no limit on battery capacity.