Currently PM will not allow you to configure different Captcha/ReCaptcha behaviours, between different sessions: logged in or SPE. The product will implement a single option: Captcha or ReCaptcha uniformly.
An enhancement request (TF00225907) has been created detailing the feature: Differentiate the display of Captcha/Recaptcha between session (Logged in browser and SPE).
The product team will evaluate the request and this feature may become available on a future release of the product.
Please refer to this article for updates or contact support referencing the Enhancement Request ID: TF00225907.