I was recording Bach I think, and I normally play without many errors. I felt that playing with them was not a good representation of I how I really played it.
With studio recordings, comes added benefit of using tools that shape a musicians vision. As long as you do not misrepresent your work as being "unedited", IMO there is nothing dishonest about editing a track. You need to keep in mind that the recording itself will not be listened to in the same context of a live performance. When being played back, the person with the playback device is in control, not the performer. As a musician in studio, one has tools available to further refine one's ideas. Of course it is also up to the performer if he/she decides to put those tools to use.
You need to make a decision whether you want to portray your recording as a moment in time captured as is, or to refine your recording in post production.
It is very rare to have an ideal perfect single take recording, that includes professional musicians that make commercial recordings. In such case one needs to choose a take, and live with it. Often a performer can be overly critical of "mistakes" and "dirty notes" in the moments after the take. Give the recording a day or two and listen back, see if you can hear those same occurrences again.
Get a second ear to listen, often what a performer considers a bad spot in the recording is a non-issue to another person.