Many different reasons why you might want to run a spindle moulder in reverse, generally they involve you wanting to flip a cutter block upside down.
Take for example a cutter block like this,
http://www.wealdentool.com/acatalog/Onl ... r_609.html
Now imagine a version of this tool that has a copy bearing fixed at one end, that's quite a common item of tooling, normally it would have the bearing fixed on the bottom so that you can use a copy template with the workpiece above it secured by toggle cramps. But let's say you wanted to flip that tool upside down and run it as a top bearing cutter, then you'd have to reverse the spindle moulder and feed from left to right.
Or you might have some whopping great tool that's too big to sink beneath the table, no problems, flip it over, have it above the workpiece, and run the machine in reverse.
Some tooling allows you to swap the positions of the cutters and limiters in order to invert a cutter block, others don't, if they don't then invert the cutter block and run the machine in reverse.
All sounds very good in theory, but in practise I think I've run my spindle moulder in reverse no more than twice in the past three years. The situation that Deema mentioned, copy cutting with a template and wanting to favour the grain direction and keep cutting "downhill", in reality I'll do that on a router table with any workpiece up to 50mm thick. Copy router bits are becoming so good these days, like these for example,
https://routercutter.co.uk/2-2-compress ... n-trim-bit
that you can get excellent routed results, even with tricky veneered workpieces, provided you've got a good, flat router table.
Regarding kick back with power feeds. Yes, it hugely reduces the risk, puts you well away from the cutters and line of fire, and improves cut quality significantly.
The down side is that on my power feed there are about sixteen or seventeen bristol levers and locking wheels, every single one has to be correctly tightened and secured every single time the power feed is used. Forget to tighten just one of those seventeen levers and the power feed can get pulled into the cutter block.
That pretty much sums up the reality of spindle work. It's a great machine, but you have to work through a "pre-flight checklist" as meticulously as if it was a jumbo jet. What's even more significant is that for each cutter block and each operation you have to
know what that pre-flight check list actually is! There's no book or internet web site that will give you that information. That's why I keep banging on about spindle moulder training, basically that's where you'll get your all important check lists.