"in fact" vs "indeed"

This might sound silly, but are "indeed" and "in fact" interchangeable? Here's a case:

Q: Is that a nice house?

A1: Yes, it's really nice indeed. A2: Yes, in fact it's really nice.

It sounds to me that on the second one the person who's answering is making a subtle correction (it's not only nice, it's really nice), while in the first one the person is just agreeing. Does that make sense?

Solution 1:

You're detecting the difference in nuance well.

Indeed comes from deed as in "action" or "fact" (rather than "thought" or "speech") and so the meaning of "in deed" and hence indeed is very close to that of "in fact"

But indeed is genearlly used to confirm or to introduce something that supports what has already been said, and "in fact" used to deny or introduce something that counters what has already been said.

We would have expected this to improve matters, and indeed the results were much better.

We would have expected this to improve matters, but in fact the results got worse.