Using third-party bots to process information for your bot - could there be data privacy issues?

Question

Information Security

Conditional situation:
A Telegram channel has been created.
For forming, formatting, sending, etc. in part of the messages, third-party bots are used - Controller Bot, Markdown Bot (just examples).
Question:
Do I understand correctly that in this case, all information from messages that were created / processed through third-party bots can be read, saved, etc. by them? Those. bot Controller Bot "knows" everything about everyone in terms of those who pass their data through it.

Answer 1

Yes everything is correct.

Answer 2

Yes, and I’ll even add more, for a general understanding: online check for updates (or the update process itself) of applications (for any OS and devices) is not only updating applications !