Does a drill press or a hammer drill have more torque

It depends on what you are drilling. For small holes, (1/4"-1/2") a hammer drill is not usually enough impact in hardened concrete so any SDS style drill and bit will usually do as they have alot more impact than a hammer drill. Torque is not usually a problem.

For bigger holes 1" +/- torque begins to affect how much the bit can actually spin as it is doing its work if using a cheaper weaker drill.

For coreing holes 3-6"+ you absolutely need alot of torque to keep the bit moving and the impact becomes less important. This is why for larger holes only thin wall SDS bits exist otherwise there would be too much torque exerted on the smaller SDS shaft. The larger sizes that are not thin wall are typically SDS-MAX with alot thicker shaft for the increased torque required due to the additional contact area of the bit face and wall.

Increased impact can help speed the process on larger holes but without enough torque the bit just does not spin the teeth fast enough to let them do their job.

Another way to think of it is if you could have only torque or impact when making a hole, which one is more important? Torque. Spinning without beating you get a really slow drilled hole. Beating without spinning and you don't get a hole; you get demolition with a drill bit which is slower and not hole shaped.

Speed is not usually an issue unless you just dont have any as drilling larger holes is typically a rather low RPM endeavor.

All of the "cordless" features debuted or were available on corded drills. The biggest factor now is that cordless drills have fallen so far in price that the market for corded is comprised entirely of people who have opted out of cordless. The superior holding power of keyed chucks, depth stops, secondary handles to counter torque, along with the more powerful tool make the corded drill excel at drilling multiple or difficult holes.

Other features which have remained on the corded drill are because of its superiority in continuous usage. The trigger lock can be handy if you're using the drill as a grinder, buffer, whatever. If you need to use the drill inverted for whatever reason it's easier than holding the trigger with a pinky. Setting the speed via a dial rather than trigger pressure is also preferable there, because you can lock in the slower speed.

The keyless chuck and clutch common on cordless drills are more user friendly when it comes to rapid bit changes and driving fasteners. The addition of the clutch necessitates reverse, because "only drives screws" is an awful selling point. Driving screws with a corded drill is easy, but breaking out the key every time you need to drill a pilot hole and getting out a screw driver if you need to back out a screw gets old really quickly.