Yes, sometimes the T disappears. Depends on the word, who's talking and in what context. It would be "innerduce," like innerview, not innroduce. But "intubate" would not be pronounced as "innubate."
Any time you make a general statement about a huge group of people its not going to be true for everyone in the group.
People who tend to lazily talk without moving their mouth much. might
say innerduced or innerview but most dont
It may be a regional or local speech pattern too.