Why is prothrombin time used to monitor warfarin and not activated partial thromboplastin time?
This article tells that warfarin can prolong aPTT too.
Now look at the image below

It is almost 5 days and some extra hours when anticoagulant effects start, during which we give heparin, also called as heparin bridge.

But in that case, warfarin usually takes a few days to be considered effective enough to stop administering patients heparin with it; wouldnt all the affected factors be depleted enough by that time to also affect aPTT?

PT is used as a standard measure not just for initiating but also for monitoring  warfarin therapy using the INR(international normalised ratio) because it gives the earliest result(as half life of factor VII is shortest) to start another treatment according to guidelines, when INR is altered beyond normal range

Warfarin affects factor VII, which is the initiating factor (tissue factor aside) for the extrinsic pathway, which is why it affects PT more?

Well I might not have any sources to answer that, but I can try to deduce answer by some logical arguments. In intrinsic pathway there is multiplication of factors, for eg. Factor XII activate factor XI and factor XI activate factor IX but by this time more and more factor XI are getting activated thus causing more interaction with whatever factor IX is left in blood(factor IX is less here due to warfarin) so no relative profound anticoagulant effect of warfarin is present. But in case of extrinsic pathway factor VII is the intiating factor and is already less due to warfarin, and there is no such factors multiplying before that to cause their maximum interaction and therefore activation of factor VII so relatively more profound anticoagulant effect is present.