Just depends whether or not you love bikes, I think
I personally love bikes and since I've started touring, hopping and once having to hitch with a bike, I'll never go back to traveling on foot ever again!
The pros outweigh the cons by a long haul. I can find better places to camp, I can peace out on my bike pretty quickly and easily if my current situation starts or people start getting getting sketchy, I stay active which keeps my brain and body healthier, I can check out bike paths and trails when I arrive in new places, I never feel stuck, I never have to wait for the bus, I can distribute weight onto bags on my bike so I'm not carrying so much on my back.
It definitely limits you a little bit when train riding on what you can ride and how quickly you can maneuver across and onto strings, and maybe you'll stick out a bit more when stealth camping in urban areas, but I've never had a time where I wished I didnt have my bike with me
And yeah I always carry a spare tube, patch kit, tire irons, mini pump, multi tool, spare brake pads and bike lights