I'm still not sure I know exactly what you are asking...I don't understand why you did not like Steamking's post...what do you think an 8.5 psi 'boost' is?? As I interpret those posted descriptions, he is absolutely correct.
Basically if engine A has 18:1 CR and 0 psi boost and engine B has 13:1 CR and 8.5psi boost, the pressure at TDC-Compression is the same or rather the "effective CR" is the same.
Depending on the combination of compression and boost, the efficiency and outputs could be comparable..about the same...but that doesn't seem practical...why aim for THAT? [see below]
Being that fuel needs air to burn and that there is a 43.7% difference in the amount of air between the two, I would think engine B would have much more power.
If all the fuel is being used in combustion, that is, not a lot of smoke is produced in one engine, [combustion is 'complete'] adding more air doesn't have much effect...but maybe one could argue the burned [consumed] air and exhaust products from the prior combustion stroke is better eliminated with more air flow.
I think I have seen that regarding Roots blowers...see below.
I asked about the truth between effective compression vs. air density...
I'm not sure I know what 'effective compression' is but I sure know you have to have the right combination of air and fuel for full combustion. In general, colder air is more efficient, produces more power, than hot air. That's true for both gas and diesel engines...you get more expansion of the air/fuel mixture. That's why some high performance engines, drag racers,maybe, use dry ice to chill combustion air and why two cycle turbo charged Detroit diesels [DD] use an inter-cooler to reduce the ambient temperature of combustion in turbo charged engines. [In marine applications, the combustion air is cooled via sea water thru enclosed SS 'radiators'...Two per engine,$1,000 each material cost, one per four cylinder bank, when I had mine! So cooling combustion air is apparently worth that additional cost for improved fuel efficiency!]
The two cycle DD engine marine engine specifications from the manufacturer say that an 8V71 [ 8 cylinder, 71 cu in per cylinder] natural aspirated [NA] engine [with a roots blower] develops 350 BHP at 2300 RPM and utilizes a compression ratio of 18:1; at the same rated RPM, a turbo charged and inter-cooled model [TI] of that engine, the 8V71TI produces 435 BHP also using a Roots blower and the stated compression ratio is 16:1, if I recall correctly. The fuel consumption of the two engines are different: DD specs show the 8V71TI gets about 10% better fuel economy; the more powerful TI model uses 60mm injectors...I forget the injector specs of the NA engine, but smaller of course.
The NA engine also comes in a variety of packages including 'work boat' and 'crew boat' versions: In these, smaller injectors and lower RPM's reduce the available output power for longer life and may be rated as 'continuous duty'...meaning they can be run at the rated RPM [say 1600 and 1800 RPM respectively] all day everyday and still achieve long life.
Hope those examples help.