I am NOT trying to be the grammar police here but ‘proscribes’ means ‘forbids’. I think you mean ‘prescribes’. Please excuse me for mentioning it but in the interest of clarity especially for those for whom English is not the first language I bring it up because it might be confusing for them.
I know when I’m reciting with a group we say the antiphon at beginning and end only. I used to say it in between the stanzas when alone because I had somehow gotten the impression with reading on various sites that this was correct, but now I’m not sure. And it is of course easier to do it the ‘same way’ at home that I do ‘outside.’ So now I just say the antiphon at beginning and end.
The other psalms like Ps. 24, Ps. 100, are found either in the 4 week cycle on a regular basis or for various feast days, but I have not (in the One Year LOTH that I use) found Ps. 95 anywhere other than given as the 'introductory psalm so perhaps that is why it is used; because it isn’t really used anywhere else. It makes it easier than trying to remember if this is a date where one of the other psalms is used so you would have to substitute Ps. 95 anyway for the place where the psalm (24, 100, etc.) was since you have already said it (ps. 24, 100, etc.) after the invitatory.