So does this save Corp from loss by card draw?

No they still loose if they cannot draw a card.

But it does lessen the risk (not that it was great to begin with).

while its true they would still lose if they can't draw, how could they ever not mandatory draw? They add the card to R and D before they're required to draw (turn begins is before draw, presumably, and even if at the same time they could choose the order) so each turn there is always at least one card in R and D by the draw phase.

Eden Shard also does the trick. The thing with this Agenda is the reccursion it can give you with help of search effects/shuffle effects, which is quite good!

Yup.

The point I was trying to make is that there are other ways for corp to forcibly draw cards than the mandatory at the beginning of their rounds

while its true they would still lose if they can't draw, how could they ever not mandatory draw? They add the card to R and D before they're required to draw (turn begins is before draw, presumably, and even if at the same time they could choose the order) so each turn there is always at least one card in R and D by the draw phase.

It's technically possible that Archives could be empty too, but that's not a game state you're ever going to see unless you're specifically trying to make it happen.