At least for the more prominent terminal emulators i expect they probably devote a great deal of attention to security. They are developing the most commonly used interfaces for linking the most numerous, varied, and/or critical systems on the planet.
replyWent to the kitty website. No mentions of security.
replyWent to Alacritty. No mentions of security.
Went to Ghostty. No mentions of security, except for "secure keyboard entry".
None have a "security policy" on GitHub.
All written in memory unsafe languages (C, Zig).