Shawn,i'm sorry,but that paragraph you posted above contains so many entirely erroneous statements that i'm not sure where to start...I'll quote it below,and try to point a couple out,but really it's up to you to do the "homework";to track down the basics of steel metallurgy and familiarize yourself with them...
Vibration is also taking temper out of your blade.But on the micro surface heat is taking it away.Remember we are talking about metal molecules connected by magnetism.Molecules loosen from use.I look at everything at the micro level.As I am a small man.When you forge a blade you temporarely take the magnetism from the steel when you heat it up so you can form it to a shape.You have to compress it with a hammer to tighten the molecule up again.Then you quench to draw the molecules even tighter again making it magnetic again.Get a stack of strong magnets stick them together then drop them several times and see if they are still lined up perfectly.This is happening on the micro surface.Vibration is more damaging than heat to the micro surface.Oil provides a cushion and reduces heat at the micro level.Sure it may not be taking temper out of the core but it is the surface every swing.
1."Vibration is also taking temper out of your blade".
Please open Google,and try to find any paper or study that'd mention this.
2."Remember we are talking about metal molecules connected by magnetism".
Metal molecules are Not connected by "magnetism"

...Most metals are not even magnetic...but in any case,just trust me on this...Judging by this,and the next couple sentences i can only conclude that you are confusing some info that relates to the loss of magnetism by steel when it reaches T close to Austenitic...Again,it is something that you can easily Google.
3."You have to compress it with a hammer to tighten the molecule up again".
I must apologise,again,and beg you to accept that it is quite impossible to "compress molecules with a hammer"!
All these,Shawn,glaringly fly in the face of physics...If you'd like to read about metallurgy,many here i'm sure can recommend some good basic texts.
And no,the friction of an axe-blade against a log cannot accrue enough temperature to affect it's HT;a number of very sober and experienced people above have told you so,and i agree with them

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(i temper axes quite regularly,and it takes a Lot of energy!

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