I asked a similar question here some time ago when I had read a recommendation to use chainsaw oil for the job. The general response was negative regarding using that oil as a lubricant.
I did however then get the chance to have a friend buy me some of the American "Pam" from an ex-pat store. I have 5 cans and have barely started using the first one, however my initial impression, after using it sparingly several times, is that it does help to reduce resin buildup on the inside of the blade, and I haven't noticed any degrade of my tyres. I usually use the bandsaw for rough cutting, shaping turning blanks and so forth, and haven't noticed the oil causing any discoloration. However if the cut surface is to have minimal subsequent processing, or is to be part of a joint etc, I would be weary of possible marks or weakening of glues etc.
Hope this helps.
Cheers,
Neil