The word I was trying to type was "analogous".
I am not talking about speed but aerodynamic drag vs HP in the case of the plane. And the drag of the wood vs. hp in the saw.
The plane at cruising altitude is under less load, due tot he thinner air, no? Hence the reason airlines fly so high.
To clarify. In the case of the plane as operating altitude goes up HP of the motor falls, but so does the thickness of the atmosphere the plain is flying in lessening the effect. To what degree these factors even out I am not sure, but there is something to the relationship I described.
The saw on the other hand loses HP at altitude, but the job its required to do stays the same. The operator may keep the saw in its happy RPM range, but its still taking longer, IE higher load to do the same job.
It was almost a trick question, but fell in line with your statement, the "air" speed stays the same, as it takes that much air to keep afloat so to speak.
The HP ( bottom line, thrust) has to always equal the drag for a fixed speed.
Jets and augmented engines are a different story, if you can keep a turbine engine cool, there HP , or the better word thrust can be bought more efficient, and will go up at altitude , sort of a rule, it's like -20 bellow at a good cruise altitude. (warm air in, hot air out, a little gain,,,, very cold air in, hot air out, efficacy)
What I found at chainsaw altitude, just to keep the efficacy there, in this case, chain speed, is to not get so aggressive with the depth gauges, and jump to skip chain sooner then you might have to on flat land. Yes it takes longer.
Plug in a 90 deg day, 29.92"hg an 85 deg dew point (bad day weather) @10000" here :
http://wahiduddin.net/calc/calc_hp_dp.htm
take a 7.0 HP saw, by the relative HP%,,,,, I come up with an MS-660 equal to an MS-361 on a good day on flat land?
A catch 22 that works for saws at altitude is that the cooling fan is less efficient, (noticeably less sideways air) but so are the cooling fins demand to get rid of the heat is lower at a bigger rate (engine efficiency seem to drop of faster then the fans ability).
To me, what that would have to do with the oil, other then burning clean/deposits, is lessan the demands, a good thing.