It is also the same for auditions, but I can confirm that public performance, i.e. recitals, will make you a stronger audition performer. It helps concentration and reduces anxiety. Visualize yourself on stage, performing the particular piece that you are singing through, silently or aloud. Do not allow anything to interrupt you, stay focused, the piece is not over until it is over, and how you present the entire work, not just the high Eb, will make the difference. WHY Because you will get to know yourself as a musician and person.
Most younger players feel more comfortable performing with someone else, usually an ensemble.
However, to really advance as a performer, you must take a chance, stand up and test yourself. I have found that every student I have ever coached through a recital has become a more accomplished and happier musician. Though it is difficult to maintain the same intensity of performance after a recital is completed, it is that level of commitment and intensity which is necessary if one is to proceed with a life as a performing musician. This is likely why you see experienced professional performers doing recitals even if their employment is in an ensemble. The same is even more true for full time professional teachers.