In my very limited experience I have not seen saturation algorithm play an appreciable role in the dive experience, but usability/readability can (don't want to be squinting at the display in dim light pushing buttons on the unit trying to find the piece of information you want).
As a new diver with older eyes, readability was a key factor for me so I went with a wrist mount with a large display (Mares Nemo Wide). After some time with it there are other readability/usability factors that I would consider (not that the Mares is necessarily better or worse, just things I know now to consider).
What information do I want readily available versus having to dig for? Dive computers have all sorts of information available in them with limited screen real estate to display that information, so each will default to having some information on the default screen and other information that you have to press buttons to see (e.g. dive time, no deco time, current depth, max depth, water temperature, ascent rate, safety stop time, dive type (gas mix, fresh or salt) etc., plus air pressure and consumption info in air integrated models). On any of these screens some of this information will be large and prominent, other will be tucked away in a corner of the display. What do you want where and does the model under consideration put it where you want it.
Many computers are still using alpha-numeric (7-segment) displays. These use multiple units of seven bars arranged like a figure-8. Put four of these in a row and you've got a standard digital hours:minutes digital watch display. Most low-end dive computers use multiple 7-segment displays for the screen. These are good at displaying numbers, not so good at letters or figures (e.g. can't distinguish between an upper-case D or O or the number 0. My Mares uses these and it can be difficult to discern what the text is that the unit is trying to display. Newer, more expensive models use dot-matrix, like a monochrome computer display. There is lots of flexibility in what you can display with these, including numbers, letters, and pictures. Best visibility is achieved with a color dot-matrix display, but those are generally only found in the $1000+ models (although I've seen the Mares Icon HD available for under $500 in the version that is NOT upgradable to air integrated).
True cost. As a diver starting out in the 21st century, I'm going with a computer log book, synced to my phone in case any dive operator wants to see my record, rather than paper (paper is so last century). Many bottom-end computers don't have the capability to computer sync, and most (all?) mid-range computers require that you shell out around $100 for a USB cable that costs $1.29 (roughly) to manufacture. You can't use an off-the-shelf USB cable since the computer connectors are proprietary. True, the USB standard isn't designed for underwater use, and the computer manufacturers are entitled to recoup their engineering costs for developing and implementing USB connectors that can be submerged, but it's still $100 for a USB cable. Be sure to figure in all costs, not just unit purchase price, when comparison shopping.
If price were not an issue I'd get a color dot-matrix hoseless air integrated wrist unit. I'd also buy from a LDS where I could try out the unit. Alas, money is an issue for me. At present I don't see a hoseless air integrated wrist model that I like enough to replace my Nemo Wide so I'm waiting. That was my plan from the get-go: buy something affordable that met my short-term needs (readable, wrist mount, syncs with the desktop software I use (MacDive), Nitrox compatible) and use that while I'm finding out if diving is something I think I'll be doing for years and what are the features I really want on my optimal computer.