^ you absolutely should!!! granted you have their respective consoles (2 entries on ds and 3 entries on wii) the price point for playing the games authentically is pretty low. i got my copy of under the knife (the first game) in box for about 25$ usd, but i'm sure it's even cheaper out of box. second opinion (a wii remaster of utk with a complete art overhaul and some additional story content) and new blood (also wii) can be found SUPER easily. if you poke around at some used game stores near you you'll probably find a copy of one of the two for no more than 15 dollars.
unfortunately, under the knife 2 (where gentle breeze comes from, ds) and trauma team (wii) are a different story. my copy of utk2 cost 50$ USD. CARTRIDGE ONLY. no box or anything, which is really depressing because i absolutely adore utk2's box art. that was the lower-priced end of the spectrum i'm pretty sure too. and then trauma team... upwards of 50$ usd, possibly more. i've seen it go for as much as 80$. it's just pretty difficult to find in general it seems. it's the only game in the series that i don't own but i long to have it someday.
but if you don't have access to any of this stuff, i would recommend karin's channel on youtube! she has no-commentary playthroughs of all of the wii entries. and for utk and utk2, check out slyzer. they both have the gameplay in a by-"episode" format and they're really nice to watch ^_^