Disclaimer ..... Colour is a very subjective and personal thing ....so you may not agree with some of below it's my view...sorry and about typos and the length of this
Ok so i do love the K1 its a great camera but since day one i have had issue with it,s colour, i have been using fuji camera for years x100,x70 xpro 1 ..so i have been spoiled a bit
if you shot a jpeg with one of these camera its pretty gorgeous straight of the bat no work required this is due to the use of fuji,s in built film emulation Velvia,astia etc
however after a lot of testing a fiddling i can,t get anything close to that,a with jpeg out of the K1 camera bright ,natural tweaking the setting etc...so i sort of gave up
i shoot raw most of the time any way, so if you bring in a fuji RAF file to light room and drop the correct colour profile on it say Velvia ...pop..... your there and everything looks great to start to work on it ....but you can,t use these profiles on any other camera type.
if you bring the Penatx dng in to light room you get some profiles, camera bright ,landscape ...etc .....however back to square one for me ... these are the same as the camera would apply to the jpg ...so again i,m not happy with the colour and i have to do a good bit of work to get the colour how i want them ....even then it's not 100% how i want it
So i moved over fully to capture one a while back as i,m from a background of video and film , it feels much closer with some of the colour correction tools like Davinci resolve i use
however things are worse in capture one, if you bring in a Pentax K1 DNG in, you get a generic profile with is pretty grim and there is a fair bit of work to do to get it right or nice
I was beginning to dispair a bit with this, as with each shoot i was going to have to do a fair bit of fiddling with the image to get what i wanted ..which is much more a filmic look...as thats the world i work in
so The dream would be fuji colour camera profiles that work on a Pentax k1 DNG
I start to search and work out how to emulate those fuji colour profiles ....well it looks like i wasn,t alone ...people where try to put it on nikons and canon raws... the fuji colour thing is quite big
and then i found it...... some utter genius has managed to reverse engineer the colour profile for the fuji film simulations including ARCO from the xpro2 so you can use them in capture one on your raws
the profiles can be download here ( these are the best versions pulled from the xpro2) if you scroll down the arco one is there as well
https://www.dpreview.com/forums/thread/4025876#forum-post-58018479
and the discussion on how to install them are here.... going from the most resent page ( this is capture one only and you need 9.2)
Capture One Pro 8 Film Simulations - Page 5 - RAW conversion Fuji X-Trans Sensor - Fuji X Forum
if you get it to work correctly instead of just the generic K1 in profile in capture one you will get the drop down for the ARGB and the SRGB version of the film emulations....and it will bring you very very close to the start point i was used to shooting on a fuji
so i,m blown away it's like have a full frame fuji camera ......that may erk some people here but sorry
obviously colour is a very personal thing ..but the thing for me is fuji make film..... Canon,nikon and Pentax have never produced a roll of film in there history as far as i know ....so when it comes to the colours with film ,fuji know more about it
any way i hope thats of some use to somebody ....i,m over the moon Ha!
your milage may vary