Through Hole Soldering- Minimum lead protrusion
Other than the difficulty in manufacturing I don't see any problem with this. From an electrical point of view, the lack of a conical section on the bottom side of the board won't have any appreciable effect on the connection resistance, and from a mechanical point of view, well there are so many other factors that determine if the lead/pad combination is strong enough that this is unlikely to be an issue. If in doubt you can do some tests on it anyway or add some adhesive to the component body.

I would suggest you oversize the holes though so that you can visually verify that the solder has wicked all the way through and right around the lead.