Hide glue seems to be the choice of “purists”. Makes sense. Myself, I have found Titebond to be pretty perfect. I use III for glue-only applications like laminating two boards together or edge joining. I or II is good in conjunction with joinery like a dovetail or tenon and mortise. Of course, III would be good for any of those as well, I just have different bottles and try to be economical about which I am using
OWOF