Depends how much you care about appearances. I can respect the weight obsession biking to gigs, a quality tuner pedal will definitely add weight and bulk, and there are ways to pull it off. Headstock tuners are exceedingly tacky if you don’t at least keep it behind the headstock. A big blue Snark tuner hanging on the front of any instrument screams intermediate guitar student, might as well wear cargo shorts and sandals to the gig to complete the look, and they’re a bit too loose as far as accuracy goes. The TC electronics clip-on does fine for bass, very accurate in strobe mode, and it’s really unobtrusive. Just clip it on so the face is behind the headstock and it’s essentially invisible. If it doesn’t feel like tracking the low B, just use a harmonic. It’s not necessarily the tuners’ fault if it doesn’t pick up well, vibrations and harmonics are fickle phenomena, moving the tuner around can often improve that (but may cause another note to track poorly).
Assuming these aren’t high profile gigs, a properly placed discreet headstock tuner can work. If image is important, pro photos will be taken, etc, don’t be headstock tuner guy. The price of vanity is a little more bulk and weight for a proper pedal tuner, but you’ll also get easier, accurate tuning.