The "loss of freedom" argument only holds true, logically, if all the new activities you can now do as a mother are unwanted and all the things you can no longer do are still wanted.
For example. I really enjoy cupping my dc's chubby cheeks and saying BLUB BLUB in their faces. If I was no longer a mother (for some hypothetical non tragic reason) I'd lose the "freedom" to choose to do that, and many other things, like blowing dandelion clocks, or giving piggy backs, or singing the ABC song as slowly as possible. And when I do travel I can introduce my DCs to new food they've never tried before, and it's like trying it for the first time again myself. I can point out a cicada and we're all delighted to learn it's DH's first time spotting one too. And that's without all the more serious stuff like I touched on earlier, proper metamorphosis type feelings and experiences.
It's true that it's quite a bit harder to go solo travelling, or get wasted on a bender, or play an 8h Skyrim marathon. But I've only "lost freedom" if I would actually prefer to do those things, and at this point in time, I'm not sure I do.
You could argue, logically, that a child free woman doesn't have "the freedom" to do many of the things in that first list. I do miss the things in the second list a bit but I was just as constrained before in the opposite direction, not being able to do the first list. It took me almost two years to conceive dc1 and I felt that "lack of freedom to do what I wanted" more than I do now.