The EPA list only has placeholder default minimums for the efficiency, does not test the efficiency nor BTU output, only tests the soot emissions once up to temp using a standarized fuel & procedure. (That is stated directly in the EPA literature.)
The manufacturers DO test the combustion efficiency of their stoves- those figures appear in their sales- literature, and they can usually produce the independent lab test data to back up their numbers when pressed. (When competitors think anothers' claims are BS they can and very occasionally will pay to have the competitors' numbers checked with independent testing, but I suspect that is extremely rare. Independent test labs have a lot on the line for getting it right before issuing a report to a manufacturer.)
50+ KBTU/hr stoves that test over 80% are often listed by the EPA as 63% & <35KBTU/hr. for example, the
Hearthstone Heritage model 8021, (the beast I have in my own home) has been independently tested to support a claim 55KBTU/hr continuous output capability and and average 81% steady-state efficiency when up to temp. It can actually be fired hotter than that if you keep it maxed out using dry pine or something, but running hotter than 55KBTU/hr regularly voids the warranty, since it would consume warp the after-burner tubes, etc..
The EPA list gives that same unit a default untested 63% efficiency & 11,700-32,800 nominal firing rate, but a fairly stingy & tested 2.7 grams/hr soot emissions. I accept the tested efficiency & BTU numbers of the manufacturer's contracted test house over any default place holder numbers on the EPA list (which are typically based on the size of the firebox or something.)
Bottom line, neither the firing rates nor the efficiency can be gleaned from the EPA emissions test lists, and the manufacturers' claimed efficiency is usually correct & verifiable. But the efficiency YOU get out of it relies heavily on keeping it at some minimum stove temperature, and using sufficiently dry fuel.
SFAIK there are no woodstoves currently manufactured in the US with internal hydronic coils. There are retrofit kits (eg Hilkoil), but intstalling one voids the warranty & safety agency ratings of the stove, which may impact the code-legality & insurance-liability of the final assembly (varies by jurisdiction.)
Yes, there is a learning curve to the operation of a woodstove, but most non-catalytic EPA rated woodstoves are far easier to deal with than the goods available 25 years ago. It doesn't take a rocket scientist or combustion engineer to get there.
Passive inlet vents aren't really necessary for combustion air for tight woodstoves and will not prevent a woodstove that is drawing it's combustion air from conditioned space from backdrafting into the conditioned space under all exhaust-venting & wind load conditions. Tight homes would normally have an ERV or HRV, which presents a fairly substantial makeup-air cross section (many times that of a ~5 square inch passive vent like the Panasonic FV-GKF32S1) for neutralizing the depressurization of high cfm bath/kitchen/dryer exhaust vents.
Mass fireplaces/stoves ( like the aforementioned Tulakivi series) make great heaters and do burn cleanly, but that's a whole other subject. They're definitely not an appropriate intermittent use auxilliary heater, since even getting them up to a temp where they are emitting a substantial amount of heat into the room takes several hours. (Also getting one installed for under 10 grand can be tough, and 15KUSD+ isn't unheard of.)