The issue of whetever or not either is required (neither is) or allowed (veiling is, handholding isn’t but people ignore it and do their thing anyway) has already been addressed.
On a more personal level, the difference I see is that people might be uncomfortable with hand-holding, but they typically just don’t do it if they don’t want to, instead of getting confrontational or condemning those who do.
For some reason, “veiling” stirs up stronger reactions. On one side, you have people who get upset when a woman does it and look for reasons to condemn her as prideful, showing off, holier-thanthou, etc. One the other, you do have some women who wear a veil and then talk about it in ways that are “holier-than-thou” (ie, literally saying veiling makes them more pious, modest, reverant, or whatever than women who do not) and add fuel to that fire.
The odd thing I’ve noticed is that people seem to have more of a reaction to certain types of headcoverings, mantillas and chapel veils in particular, yet those are the very type that seem to be romanticised online and within this whole “veiling” renewal. The pastor at my home parish is not comfortable with women wearing mantillas, in part because of judgementalism and hurt feelings causings problems between people in the past, but he was fine and encouraging with the 2 or 3 of is in the congregation who cover with scarves and hats. So, I just save the mantilla for the churches I visit for weekly Mass & certain devotions, where they are worn by some other women and are not distraction to others.
Also, I have to say the whole romanticism thing online does chafe me at times, ad that might be part of what irritates others. I’m not totally comfortable with the term “veiling”, because it reminds me of the phrase “taking the veil” that used to be used of women entering the convent, and I don’t think we should confuse laywomen practicing a private devotion with religious sisters.
I also think that the focus on “the veil” is obscuring the fact that it really is about covering ones head, not a specific type of covering. I think it is burdensome that many women who wish to start covering now feel like they have to order a mantilla when they could just as easily start with a scarf, snood, or hat costing a few dollars from a local store. (I am also slightly annoyed that the price of mantillas has risen sharply since it became popular again, when I bought mine for less than $10 just a few years ago, but I’m grateful for the variety of beautiful ones out there to choose from now).