YES.  Sharon Saare, who has many years of experience riding, and recently, 
fitting, many shapes of horse backs, is on the same side of the fine line in 
agreement with your generalization.  (She would add "mutton withers".)   She 
makes the point to her audience, however, that it is misleading to make 
generalizations to anyone.  I agree with your opinion to a certain extent, 
i.e., with the "strongly downhill" part, HOWEVER, readers should NEVER use this 
generalization alone to rule out a potential downhill-horse's abilities for 
your discipline until you ride it and see/feel how it moves! 
 I had different saddles sliding forward on downhill QHs.  Then I rode a 
somewhat-downhill Arabian in a Sport Saddle.  That horse can get down and work 
at any gait!  Her saddle slid BACKWARDS when it slid at all!  It all depends on 
their ability to carry themselves properly.  If a person bought a 
strongly-downhill horse, they may be likely to travel "level", especially when 
in good or approaching-good physical condition.  Do the same for toes-in or 
-out or any other slight "defect".  If the horse travels straight/well and 
doesn't interfere, there will not likely be a problem with performance due to 
that.
You should also study conformation of performance winners in the sport you're 
in.  For short-distance racers, a SLIGHTLY downhill appearance, when you're 
studying a standstill profile, is not only acceptable but desirable.   I will 
not extrapolate that to long-distance until I see proof, however, my experience 
tells me it couldn't hurt.   In addition, if the readers ride the steep terrain 
so often spoken of in this forum, they will likely be using the proper 
equipment if their saddles slide at all, i.e., breaststrap & crupper.  JMHO,   
Bridget Brickson in SE PA