Well, then I must live in an \"archaic\" world because for me \"timely\" has always been connected with a sense of urgency, although maybe not literally \"urgency\" but certainly as something to curb procrastination such as:
\"Employees must turn their time sheets in a timely manner\" = they should turn them rather sooner than later and perhaps not always when it\'s convenient for them but when it is expected.
I don\'t know - maybe some people just interpret it differently.
And certainly, if I wanted to convey to someone that he should factor in his convenience while determining the time of response - I\'d just use the word “convenient” or “convenience” (as stated in my previous post) instead of “timely.” But that\'s just me...