Update note on organization membership visibility

[RamandeepSinghMakkar]

Clarify that private repositories and contributions remain inaccessible even if the organization is public on GitHub.

Why:

Closes:

What's being changed (if available, include any code snippets, screenshots, or gifs):

Check off the following:

• [Checked ] A subject matter expert (SME) has reviewed the technical accuracy of the content in this PR. In most cases, the author can be the SME. Open source contributions may require an SME review from GitHub staff.
• [Checked ] The changes in this PR meet the docs fundamentals that are required for all content.
• [ Checked] All CI checks are passing and the changes look good in the review environment.

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Table of review links

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Source	Review	Production	What Changed
account-and-profile/how-tos/organization-membership/publicizing-or-hiding-organization-membership.md	fpt ghec ghes@ 3.19 3.18 3.17 3.16 3.15 3.14	fpt ghec ghes@ 3.19 3.18 3.17 3.16 3.15 3.14

Key: fpt: Free, Pro, Team; ghec: GitHub Enterprise Cloud; ghes: GitHub Enterprise Server

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[Sharra-writes]

@RamandeepSinghMakkar I'm checking to see whether this is a common point of confusion, because I don't think it is, but we should have data on it.

[Sharra-writes]

@RamandeepSinghMakkar Yeah, this isn't really something we get people confused about, so we're not going to accept this change. My colleague did point out that the intro is unwieldy, though. If you would like to shorten that for the sake of readability, we can definitely talk, but I'm going to close this PR.