Yia sas, youles! I think remodelfla is interpreting you correctly. Baseboards usually refer to the molding which runs along the bottom of walls where they meet the floor. What we call toekicks here in the US, the strip which runs along the base of the cabinets, does keep the area under the cabinets from accumulating dust and dirt. Depending on how much vertical space you would have between the floor and the bottom of your cabinets, without the toekicks, you could have difficulty getting underneath to vacuum or wash the floor underneath. I am including a photo from the finished kitchen blog, which show some traditional cabinets with feet, but I can't say how they're constructed. I am also including the link for that blog below. I have also seen very modern kitchens on legs with quite a bit of space below them, but I always think it's wasted storage space when I see those. Modern kitchen: http://www.hansenliving.com/data/media/hansen_forside_eng.jpghttp://www.hansenliving.com/data/media/hansen_forside_eng.jpghttp://www.hansenliving.com/data/media/hansen_forside_eng.jpg Here is a link that might be useful: finished kitchen photos

Well! I am glad. Because IF you were my client, I'd have made you rip all the bedroom carpets to hardwood, before you tackled a lick of trim. : ) Realize too, that an attempt to turn a perfectly lovely 1990's contemporary shell INTO a Craftsman......? Can fail you and empty your pockets. You can have " the beef" ......with care , a great result too. A five inch window casing, NO change in size/trim at the top, for just one instance. Simple single panel doors. .....glowing hardwood. Also a lighting plan that is cohesive. ( kitchen ) If your new "help" is very honest,? She is going to rein you in a bit, slow you down a bit. Resist the urge to fire her, as she will be giving you good advice should that happen. Along with, finish that which you start, and don't peck all over the house. Rome isn't built in a day. A designer can help you focus your efforts for most appropriate result and value.......over time. Good luck!

Have him credit you for the molding portion of his quote, release him, and get a trim guy. Unless your contract specified, " match to existing trims" ? You are going to have to spend some money, beyond what insurance "covered" What he "thought" doesn't matter and if he has a conscience, he'll credit. I doubt he wants to be bothered at this point, going beyond what he has done and searched. jmho

Unless you are changing the casings don't go too tall with the base or they will look even skimpier... Personally I would pause door replacement and replace casings and base simultaneously so you can choose better. re chispas comment, my lumberyard stocks traditional because that is what sells, but they have a 1/2" thick catalog to order from and it comes in a week. They will even get physical samples. Here is one vendor https://www.gardenstatelumber.com/moulding-type/bases-base-caps-shoes/