I voted Relaxer because when I was fully relaxed, I just put my hair up in a high pony, let it dry and took it down with no issues ... at all. Can't same the same with texlaxed or natural hair.
I will say this: for those naturals who plan to press/flat iron, it can definitely be done; you just have to find the right stylist or get your straightening technique down pat. I went to this stylist who flat ironed my hair so well that I worked out outside in the Southeast summer humidity, at the gym, in the steamy locker room, shower (w/ cap, no scarf), etc. for an entire week and my hair did not revert one single bit. I know this because I decided that my hair is too flat when pressed, etc. and I wanted to texlax it in order to style it and wear it out. That meant that I had to get the waves and natural curl pattern back into my hair to see what I was doing. I am telling you, I did EVERYTHING during that week to get my hair to revert back without washing hair (I even ran the shower and sat on the edge of the tub) and ... zip, nada, not one wave or hint of a wave. Moral of the story: you can press/flat iron your hair enough to withstand exercise, heat, humidity.
I remember that the stylist used a very (I mean he!!fire) flat iron that heated on the stove and she sprayed every single section with a Keracare -like spraying solution before passing the iron through only once. My hair was glistening like glass, soft and seemed healthy/bouncy. I would have loved it but the only thing that I could do was put it in a ponytail and I wasn't entirely comfortable with the thought of putting that much heat on my hair on a regular basis. (Hence, my decision to texlax so I could rollerset and/or airdry.) Also, by way of background, I found this stylist based on a recommendation from a WL woman I stopped in a store because her hair was amazing and I wanted to know where she got it done; she said that she had been going to this stylist for like 10 years - high (high) heat, every two weeks for 10 years and she was WL.