'85 Westy with about 80,000 original miles on original engine.

Recently I  went down a longish (quarter mile or so) hill using the
engine as a drag in second gear with foot off the throttle.  Going
slow looking at the redevelopment of the neighborhood.  The hill is
steep enough that I maintain a steady 20-25 mph with no break or no
throttle.  At the bottom of the hill, the road swings left and goes
up and I applied foot on throttle and the engine acted as if it was
turned off or out of gas.  Have at least half tank.  Then it caught
and ran ok.  On several other occasions, I have noticed a slight
hesitation after a downhill coast when applying the gas to go up the
next one.  But never as serious as this.  It really seemed like the
engine was starved for fuel.  On occasion, also, I have had trouble
getting started on a fairly steep uphill stop light.  I need to rev
the engine and slip the clutch more that I think is normal to keep
from stalling.

Could these be related or just two different problems rearing their ugly heads?

Any thoughts on this one?

TIA again, Jim in Atlanta