Two points:
First, a wonderful old priest I knew who has since passed to the next life would always give one Hail Mary as penance. Short. Sweet. Simple. To the point.
Second, the only thing that bothers me is the underhanded tone attacking the Novus Ordo. From the original questioner:
We attend the local TLM and it is difficult to make it to Confession because the lines are always so long.
and
[My wife] went to the nearest Novus Ordo parish where there is hardly anyone in line.
And Fr. Z’s sort of underhanded response:
No wonder there is a difference in the length of lines.
Why the need to disparage what is the
ordinary, meaning the one normally celebrated, form of the Roman Rite? Why the need to insinuate that those who attend the extraordinary form are much better Catholics and thus there is always a long line? Why the need to insinuate that those at the ordinary form parish are lazy Catholics who don’t take their faith seriously, and thus there is no line for confession?
Why the need for Fr. Z to affirm this attitude in his response? What possible good can come out of that?
Are there misunderstandings around the sacrament of Reconciliation? Absolutely. Are some people (perhaps those at the EF parish) too scrupulous? Yes. Are there others who are too lax (perhaps those at the OF parish)? Yes. Are there good people at both? Yes. Finally, are there OF parishes which have long confession lines? Absolutely. I’ve heard confessions in multiple OF parishes where the line ran right up to the start of Mass, and could have gone longer if I hadn’t needed to leave to go celebrate Mass.
Please don’t disparage the form of the liturgy which Holy Mother Church has stated is the ordinary and normative form of the liturgy in the Roman Rite. (Not saying the OP is doing this, but sadly, I hear this attitude all the time. It’s the primary reason why I am reluctant to offer the EF in my parish. Well, that and the fact that I haven’t been trained in it, and don’t know how. But, I would be willing to learn if A) I was convinced that enough people wanted it to make it worth the while, and B) was convinced that these same people would not engage in OF-bashing at coffee, right after having received the Holy Eucharist).