If planned, set up, and monitored correctly then yes, an advertising campaign should increase the traffic to your storefront page, which should increase sales and/or wishlists.
A successful ad campaign isn’t just a case of throwing money at it. If the campaign is curated correctly then money won’t be a huge disadvantage.
The main reason for spending more on an advertising campaign is to increase your CPC bid. With a target audience breakdown and some CPC digging you can find cheaper avenues to use when setting up your advertising campaign.