Yeah this is why lead acid was hard to replace in cars with lithium chemistries.
The Cold Cranking Amps (pretty much the peak startup current) that they can provide is rather insane. Even my small motorcycle battery provides over 250 CCA.
Super capacitors / just large capacitors in general might eventually save the day here. The only issue is super capacitors can't generally bake in the heat all day and still work for 3-5 years like lead acid batteries can.
Supercaps is how "fast" charging in most smartphones works as well since they can soak current faster than the battery itself and also mitigate cycling batteries too hard.
The Cold Cranking Amps (pretty much the peak startup current) that they can provide is rather insane. Even my small motorcycle battery provides over 250 CCA.