And by the way, the things I researched on are battery analysers, and I did read the information about them more than once before I suggested them to you.
The only thing you suggested which could come close to a battery analyzer is the SkyRC B6AC V2 (can charge and discharge, though it doesn't look like the device firmware automates this very much, so debatable whether it's really an "analyzer")
Get an ESR meter for batteries, pretty much every battery in common use increases in ESR as they approach end of life.
ESR increase and capacity/SoH loss can both lead to end of life, but the two are almost completely independent of each other (in all battery chemistries AFAIK). I believe the OP was interested in measuring capacity/SoC/SoH, which an ESR measurement won't tell you.
Unfortunately, practically every handheld "battery analyzer" you find on Amazon/Aliexpress is useless for measuring actual capacity/SoH. They can generally measure CCA and ESR okay, which is useful for starter batteries. Many claim to use electrochemical impedance spectroscopy (EIS) to get a very fast measure of SoC, but such methods are far from foolproof and need to be tailored to the specific battery in use. I wouldn't bother with anything which doesn't do a full charge/discharge cycle, which should take many hours.