oooh spin bowling talk.
Yea Spin for Limited Overs cricket and Spin for Multiday Cricket are both essentially their own skills. In both the main goal of the spinner is to deceive the batsman. But in Multiday Cricket you wan't to find the edge or beat the bat. In Limited Overs you just don't want to be hit clean. This leads to subtle changes in the way they bowl.
In multi-day cricket, spinners aim to bowl a line/length that requires the batsman to reach for the ball. They also bowl with a lot more flight/loop. This is done to make the batsman to pop the ball up in the air for a catch. Bowling a slower pace with more loop also allows for more drift and spin off the pitch, which in turn increases the chances to beat the bat. Finally, this also encourages a batsman to use their feet more and leave their crease. Variations are used sparingly, and only after setting a batsman up for them. This includes variation in the speed and the flight. This is why you'll see batsman stay deep in their crease and play the ball late against spinners - it's an attempt to nullify all their main wicket-taking options. The more skillful ones will take on the challenge and use their feet to get right to the pitch of the ball. As a spinner in this context, you really aren't worried if a batsman hits you for a few boundaries, because you know it creates a chance for you to take his wicket.
In limited overs cricket, spinners tend to be quicker in the air, and either bowl a fuller or shorter length, because they do not want the batsman to get under the ball and hit in the the air. The lines also tend to be tighter to the stumps, as to avoid giving the batsman the freedom to swing their arms. There is a lot more frequent use of variations, as to not let the batsman line them up. The challenge posed to the batsman in limited overs cricket is to generate enough power on a shot to clear the field. This is hard to do when the spinner doesn't give enough pace to work with, and denies them the freedom of lunging at the ball and swinging their arms through it. Add to that the subtle variations in movement off the pitch and in flight -making it hard to use your feet to generate power- and it can be very tricky to hit the spinner clean. As a spinner in this context, you aren't worried with beating the batsman's bat, as long as you can build pressure by drying up the boundaries and get them occasionally caught at the boundary.
Bowling a multiday style in limited overs cricket gives the batsman plenty of opportunity to hit the ball clean - they can either reach for the ball and swing their arms through the shot, or they can use their feet and generate power coming down the wicket. They can also rock back deep and generate power off the backfoot. Bowling a limited overs style in multiday cricket allows a batsman to just see the spinner off and milk runs when they come, as they aren't doing enough with the ball to beat the batsman.
Ofcourse, in modern day cricket, these lines have become blurred. We've seen bowlers use multiday bowling strategies in limited overs cricket and be successful as wicket-taking bowlers. We've seen batsman bring limited overs batting strategies to multiday cricket and have success by hitting spinners out of the attack in good batting conditions. Pitches like those in India allow spinners like Jadeja to bowl a limited overs style and be absolutely lethal. So the distinctions aren't as clear as they used to be.