Other players are not able to see my chat (shadow muted) while playing on The Hive...

If you have been suspended for something there isn't anything we can do on the forums.

Here is some info for you though;

Communications Suspensions

Communication suspensions are imposed due to inappropriate conduct during communication activities on Xbox Live. This suspension blocks an account from accessing any communication features on Xbox Live, including text messages, voice
messages, video communications, Skype on Xbox One, in-game chat, and party chat. Communications suspensions are issued for a specified temporary duration, often of 1, 7, or 14 days.

During a communications suspension the account may continue to access the Xbox Live service, including online multiplayer. At the conclusion of the suspension all communication functionality will be automatically restored.

Game-Specific Bans

Game developers have the ability to build game-specific security into their titles and enforce their community policies independent of the greater Xbox Live system. This is often true for games that feature extensive player-created
content or have robust and active online communities. Since every game is different, the method by which you are notified of a game ban varies by developer.

Game-specific bans fall outside the scope of Xbox Live Policy & Enforcement, and XBLPET and Xbox Support cannot provide insight into game-specific enforcement actions. For specific information about a game ban, please contact the appropriate
developer or publisher.

If you have a general xbox live suspension you can submit a case review with this link https://enforcement.xbox.com/en-ca

Enforcement.xbox.com is the place to head in order to see if you've had a suspension. You would have had notification if you've been comm banned.

If it's been months, it's probably more likely to be an error and some trouble shooting may be in order . Try the following ...

To fix the 'Can't chat in Minecraft” error,
go to Options > Chat settings and change the settings from Command Only to Shown. This will let you talk and share your thoughts with all the other creative Minecraft players.
If chat is still unavailable, disconnect from the game and then enable the connection again.

Where do I find options and the chat settings?

If you can communicate in any other game except Minecraft Servers then the issue is on Mojang side.

You will need to contact Mojang support to have them look into the issue.

Some of my friends had the same issue and they had to contact Mojang to have it fixed as they could communicate in other games fine.

You should log into the enforcement team website for information where you can also submit a case review if the suspension is eligible.
http://enforcement.xbox.com/home