i've perched almost all of our raised bed gardens out back on top of extra organic materials. so if i ever do need some i just have to dig a little deeper. it provides deeper worm habitat during the really hot and really cold parts of the seasons. as of yet i have not redug an entire garden inside the fence in many years, but i do dig about 5-10% of some gardens to bury whatever scraps of organic things are left at the end of the season. so it is a pretty low till effort. similar to what
@digitS' describes we do use some pathways as mulching spaces and i've dug deeper trenches in areas outside the fence to use as places to put odd bits of cut off branches or whatever that comes along.
for wood chips the decomposition rate varies by wood types and size of chips. 3-5yrs for a decent amount of decomposition is good. you may be able to scrape aside the top layer and use what has broken down underneath.
mushrooms are also sometimes seen in them. i enjoy the various fungi that show up here. you'll see more fungi in deeper layers of wood chips. you'll also see fewer weeds in them if deeper layers are used. 4-6 inches is a lot of wood chips but after
several years that will settle and be thinner.
if you find yourself getting a lot of weeds sprouting in your wood chip pathways that is usually a good sign that they are well broken down (or someone has spilled a lot of dirt there

). if you don't have enough time to scrape the top aside and get what's below you can also just top them off with more and let them be until you can get back to it. it's all fairly good and stable humus once it gets to the dark brown stage.
humic acid molecules are a very large one and complex, that's why they're so nice to have in the gardens, there's a lot of nooks and crannies to hold nutrients of various kinds. besides them being mild acids... i think they also act as a good buffer, but i'd have to look that up, it's been a while since i read about these.
now when you mention grasses growing up into your raised beds from the grassy area you currently have... it can happen for sure, but two layers of overlapping cardboard should keep most of that from happening. for shallow rooted plants that don't need to get into the subsoil/grassy level soil that's great. for deeper rooted plants you may want to remove the sod layer that you can get out of there and replace it by topsoil from some other location (but usually that also moves weed seeds around so you may not know what you are getting into there too). a few layers of cardboard may take a year or two to break down completely and hopefully by then the grass roots will have given up

). if not doing it a second time with the cardboard layers is good enough. i've never had any plant survive 4yrs smothered in cardboard and wood chips.
ground cover fabrics can be ok, but we've had so many of them turn into junk that has to be taken out and thrown away i'd much rather use cardboard instead.
once you have a pathway cleared of grasses and weeds you may not ever have to use cardboard again as you can use wood chips on top of wood chip humus and only top it off once in while as needed.
once weeds start showing up in the wood chip mulched areas that is the sign to me it's time to mine that humus for a garden. i first run a lot of it through the worm farm buckets to give it some extra nutrients as it is a weak fertilizer otherwise. added wth horse or rabbit manure it'd be pretty good.