I haven't owned DM myself so haven't played enough to be intimately familiar with it like I have RS and JD.
I much preferred RS to JD. I no longer own either (can't afford to keep games, I have to sell to get a new one in my collection) but I'd buy RS back but happily not see JD in my collection again.
JD has amazing artwork and really good attention to detail in the modes, music and sound effects. It is an interesting layout but I agree with the common assessment that it is clunky. The upper right flipper is horrendous for shooting the sniper tower, it just wasn't designed very well. The Air Raid shot is practically impossible to hit. The kickback is weak.
RS on the other hand has much more satisfying shots, combos and a better multiball. The music and theme isn't as attractive as JD but the classic Lawlor gameplay and modes are excellent. The linearity is the biggest issue, that's for sure, but it was still a pleasure to play. The shaker motor is really relevant to the theme too, and it's a beast.
I always find it interesting when people complain about RS being repetitive with Taxi Driver being the first mode. The same people don't complain about TAF always starting with Hit Cousin It or Mamushka. The sound for those modes are way more annoying than Taxi Driver. I know you can launch into the bumpers on TAF to start a different mode (just as you can start RS with Spring Break if you shoot the bumpers) but it is a risky shot and you eschew a skill shot so nobody wants to do it (on either game).