I would say no, especially to the daisy heads.
I've actually researched native tack work, and had an article about it published in Muzzle Blasts in 1981. It can give some guns a lot of character, but is easily overdone. The tack work can also be difficult to reverse, if you decide you don't like it. Probably the best way is to file the head until you've gone deep enough to release it from the shank. Then you can pull the shank without having to pry the head off. You'll still have a hole to deal with, and a ring shaped impression around it. I know your tacks are just stuck on temporarily, which was smart! Sort of like a temporary tattoo...
You also see a lot of old guns with native provenance with split or broken wood on the forearm. The wood is very thin there, and they probably just pounded the tacks in. You would be wise to drill a slightly undersized pilot hole first.
I have never seen a daisy-head tack on an old, original gun. I've never seen any of those "faceted" upholstery tacks on one, either. The old-time tacks were cast of brass, with the shank and head in one piece. The shanks were square in cross-section. As far as I know, the were available as smooth high domes, low domes, and cone shaped only, and you typically see mostly the high-domed ones on guns. Modern tacks are available in all sorts of shapes, and they always have steel shanks, unless you can find authentically cast tacks from a restoration specialist. When you can find authentic tacks, they tend to be expensive.
There was an extensive thread about tacks and other embellishments on this forum a couple of months ago. I remember it had "Bling" in the title. If you do a search for "Bling," you ought to find it.
The bottom line is that it is your rifle, and you can do anything you want with it, but bear in mind that tack work is more or less permanent. If that will be one of your "forever" guns, that's great! However, if you ever want to sell a rifle with daisy-head tacks on it, be prepared to accept a lot less than you would like.
Best regards,
Notchy Bob