As members of the Puritan board, let's remember that the name "Puritan" was cast as an insult against folks who were ridiculed for seeking to purify the Church, and especially her worship, from such man-made ceremonies as "Lent". I understand that there are others on the board than Reformed Presbyterians, and I respect your views on practicing "Lent", but I cannot agree with them, nor can I agree that they are compatible with Puritanism.
When one celebrates "Lent" or some kind of Lenten fast, one observes a man-made ceremony. Man made ceremonies are not pleasing to God--He is pleased with the worship He Himself has instituted. Our Catechisms and Confession (Westminster) make clear that God is to be worshiped only as He has appointed in His Word. This is the Puritan view, and the confessional view.
The difference between fasting and observing a Lenten Fast is that God has instituted fasting, both public and private, as a way of afflicting the soul--that is, as a means of denying oneself during times of Spiritual trial or affliction. Public fasts are called by the officers of the Church, and are observed publicly, like public prayer and public charity. Private fasts are observed privately, as private prayer and charity. Lent is a yearly tradition which is associated especially with a Church which teaches a false gospel that cannot save. It is a man-made tradition enjoined in most cases by a raw action of unregulated church authority.
Pastorally, I would strongly caution any who would take up this man-made ceremony. What is the reason for observing this man-made act of so-called humiliation and piety? Have we, as protestants, forgotten that true humility and piety is reverencing God as God rather than foisting our man-made traditions upon Him? Remember the words of Isaiah: "Who hath required this at your hands?" (Isaiah 1.12) And, this was spoken of appointed feasts which were undertaken insincerely. If the Lord so rejected His own appointments if insincerely taken up, what can we say of things He has not appointed?
We may disagree as to what the elements of worship are exactly, but to take up what God has obviously not appointed, but what has been pressed upon the church by one who arrogates to himself this Divine authority to "change times and laws", sets a dangerous precedent. What will our children do if we have let the camel's nose of supposedly innocuous man-made ceremony in the Church? I submit that they will invite him through the door. My view is that there is no "innocuous man-made worship ceremony".