#5902969 Jetpack Search: instant search toggle should change with Jetpack Search toggle

Fixes: #52404

Changes proposed in this Pull Request

• When disabling Jetpack Search, instant search would also be disabled which is a child option under Jetpack Search, which also aligns with Jetpack plugin settings page.
• And, because we recommend instant search, when Jetpack is re-enabled, instant search would be re-enabled too.
• Changed label to be clearer – ‘Enable Jetpack Search’
• Separate the setting saving of jetpack sites (including Atomic) from simple sites to avoid a random error discussed in P2.

Discussion

pcNPJE-8a-p2

Testing instructions

• Open Settings->General->Performance of a site with Jetpack Search plan (Atomic/Simple/Jetpack sites) in Clypso
• Ensure when Jetpack Search is toggled disabled, instant search is disabled as well.
• Ensure when Jetpack Search is toggled enabled, instant search is set to enabled.
• Ensure Instant search toggle could change and save without affecting Jetpack Search toggle.
• Ensure it works for Atomic / Simple / Jetpack site.

Gif: https://d.pr/i/dl2HRh