Like most of my fellow colleagues contributing to this forum, I've tried all sorts of footwear "solutions", but found no universal answer. I have, however, learnt by experience that footwear selection is very much a personal preference and also depends on anticipated weather, conditions underfoot, etc. In an attempt to keep as light as possible, I walked the Hebridean Way in April, taking only fully ventilated running shoes (Merrell All Out Crush Tough Mudders). Vast areas of bog in the Uists confirmed my decision to tolerate wet feet when walking was the right one. They quickly dried on the drier sections and using waterproof and insulating socks within wet shoes at the end of the day to keep feet dry and warm worked well. The problem was the flat profile and lack of arch support on the many long sections of road walking, which caused gastrocnemius and soleus tendonitis, which almost stopped my walk.
Despite this reasonable result, I tried some walking sandals for the very wet Pennine Way terrain in September this year. Unfortunately the Merrell Blaze sandals mashed my feet really badly, even though the superb ventilation and drying ability was a plus point. That said, the worst boggy areas now have long stretches of industrial stone flagging to keep above the bog and for the majority of the rest of the time a good bit of hop, skip and jump would keep the feet dry if wearing even mid-ankle boots on the Pennine Way IMHO. At Horton-in-Ribblesdale I met my "trail angel" and swapped the sandals for ventilated shoes, but it was a mistake to have no other footwear. Because I didn't use any accommodation other than a tent, shoes stayed permanently wet-through. "Water-proof" socks didn't cut the mustard and although I finished the PW in 13 days, my feet were mashed. I've reflected on this and offer my advice, for what I think might have worked better...
I'm not a fan of "boil in the bag" membrane boots, but that said I'm getting on really well with some Meindl "Response" lightweight GTX mid-boots. They are about 800g. I'm sure other manufacturers make similar. These are light enough for me to take the additional weight penalty of taking my Merrell Tough Mudders in my pack. These only weigh about 350g. Most of the time the Meindl keep me dry and I find them supportive and very comfortable on all terrain. I don't sweat so much at 58 y/o, so not a problem, but if the Meindl get wet, or if the weather takes a turn for warm and dry, I'd swap out to the Tough Mudders and carry the Meindl, which might then dry out. I'd swap between the 2, depending on terrain and circumstances and I'd have footwear for camp. It's surprising how often a drying room is across a muddy farmyard, so if you only have one set of footwear and it's damp, it's not going to get dry. I appreciate that I've said continually wet feet are "ok", but if your feet are mashed, it's not ok. Skin is far more fragile if wet and after a while you crave dry feet.
I reckon my 2 pairs of footwear equate, roughly, to the weight of one pair of leather boots. In the past I had some full-leather Meran GTX, which were heavy, let in water and performed badly for me. I also ditched the flip-flops for wearing around camp - light but useless.
For shorter trips (up to 7d), where I can rely on the weather forecast and conditions are going to be dry, I'd take my INOV-8 Roclite 315s as the only shoe I would need. For longer trips, with an uncertain forecast and the prospect of bog, I'd take the weight penalty and take the mid-boots plus vented trail runners.