The short answer is no.
And here is why.
- First of all, when your Apple Search Ad is displayed for a keyword, then your app listing is also automatically displayed at rank #8 even if you don’t rank for it. If you do rank for it, it’s displayed at rank #8 or above (Apptweak).
- Secondly, if your app has #1 place in organic search results and you run ads for it, you don't need to worry. On the results your users will see ads text banner above the organic search result. So your users are likely to click on the organic result.
- The third point is if you run ads, you protect your brand. Your competitors may be bidding on your brand name / word. Then in the results the competitor's banners will be #1, even though you are #1 in organic results.
- And the fourth point is that Limited Ads Tracking users are attributed to the organic results.
All of the above should be considered when you question yourselves whether you really buy your organics with SearchAds.