Post Settings: Remove reachability checks

[kean]

No description provided.

[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud

[wpmobilebot]

📲 You can test the changes from this Pull Request in WordPress by scanning the QR code below to install the corresponding build.

	App Name	WordPress
	Configuration	Release-Alpha
	Build Number	28023
	Version	PR #24634
	Bundle ID	org.wordpress.alpha
	Commit	18b13b6
	Installation URL	3drefoajsms10

Automatticians: You can use our internal self-serve MC tool to give yourself access to those builds if needed.

[wpmobilebot]

📲 You can test the changes from this Pull Request in Jetpack by scanning the QR code below to install the corresponding build.

	App Name	Jetpack
	Configuration	Release-Alpha
	Build Number	28023
	Version	PR #24634
	Bundle ID	com.jetpack.alpha
	Commit	18b13b6
	Installation URL	76oicf764a6e8

Automatticians: You can use our internal self-serve MC tool to give yourself access to those builds if needed.