Melodee, if I were doing your hair, I'd not need you to have it straight. I'd even prefer it as it is, having had more experience braiding natural Type 4 hair than relaxed or caucasian hair. (That's when I was patient enough to do someone else's hair. The last time I did someone else's hair, I so wanted to beat the crap out of that person for putting me through the torture.
8 hours of standing up (we're talking tiny 1/2 centimeter thick microbraids) was not fun. Talk of PMSing at the wrong time.
At least when I do my own, I can quit when I get bored and don a hat or cap or headdress till the next time I feel like it. But usually with the distraction of 4 videos, I can sit through the 8 hours without noticing.
)
Some hair stylists insist on your hair being straight before they can braid it - coz that's what they are used to. Some don't mind either way. Maybe you should call yours and see what they say. If they insist that your hair be straight, I'd get it straight at home before going there (meaning blow dry it yourself) so that they don't have to press it or blow dry it for you with what might be "unfriendly" heat. Plus it could save you the extra money they might charge you for that extra step. If they don't mind your hair as it is, I'd go get my hair done without the blow-drying. Just make sure you're both on the same page when you talk (that they understand how it looks) before you go so you don't get any surprises. Maybe your question should be, "Are you able to braid type 4A/B hair natural without blowdrying it regardless of the texture of the hair extensions' piece?" If the answer is, "Of course!" Then you can bet your bottom dollar they can do the entire spectrum of our hair from 1A to 4B coz I'm sure they see more relaxed hair for braiding than they do natural. Seems most people think one needs to relax one's hair before one can braid it.
Good luck.