Primitive weapons would reduce success rates. If the same number of tags are issued then more animals will survive, ultimately increasing trophy class.
If the goal is to Increase tag numbers and ultimately the same number of animals harvested then no, would NOT have a benefit, and might even be more detrimental by having increased numbers of hunters and possible more wounding.
The surest way to increase trophy class is limited harvest and less pressure.
For population control killing cows/does etc is better with the most effective means possible to achieve the harvest goal.
Habitat improvements and good weather generally have a much larger effect on wildlife herd health than hunting management.
All that said I would love to have a traditional bow/spear/atl atl early season with a iron sight flintlock loose powder season to follow