In my opinion, I believe you *can* feel somewhat different effects from two different pipe tobaccos.... because nicotine is of course the primary psychoactive agent that can provide the “buzz” (or technically the “euphoria” effect), but so can CO2 and/or CO levels. When folks purposefully inhale smoke, this would be much more pronounced..... but in reality, even when not intending to inhale pipe smoke, some at least small amount of the smoke is inhaled.
The two different pipe tobaccos the OP mentioned have two different chemical makeups (be it from curing method, topping differences or whatever)..... so I suspect beyond the nicotine.... one has a noticeable difference in CO2 or CO production.... leading to the different feel of the smoking “buzz”.