Yep a bike is a bike,
However, when talking/typing and I feel I may have used the word bike a little too often, I replace the word bike (in a thesaurus kind of way) with a suitable word that would also mean bike. Sometimes the bike may be 'she' or other times the bike may be 'old girl' depends on the mood really, and I think I've only said steed for bike once or maybe twice, and I didn't care for it much.