Choose Wahl if you are mainly comparing haircutting clippers, need a dedicated detailer, or want a wider spread of clipper-style options in the supplied set. Wahl is also the more relevant brand here if you are looking at a tool for neckline work, fades or cutting head hair, provided the chosen model includes the guards and features you need.
Choose BaByliss if your priority is beard shaping, stubble control and quick facial grooming. The supplied BaByliss option is not presented as a full haircutting clipper; it is a beard trimmer, so it should be judged by facial hair control rather than bulk hair-cutting ability.
Choose neither blindly if you are replacing an existing tool. Check what you disliked about your current clipper first. Was it too heavy, too loud, missing the right guard, poor around the ears, awkward to clean or always out of charge? Those answers should guide the replacement more than brand loyalty.
If you are buying for someone else, a grooming gift set may feel safer, but only if it covers their routine. For someone who already cuts their own hair, a more specialised clipper or detailer may be more useful than a broad kit. For someone who only maintains a beard, a focused trimmer is usually the cleaner choice.