Earl, much of this is determined by personal choice. You will find there are strong proponents of each who will argue the merits of why one attachment is better than another. I use both so I'm in the middle ground. I persoally beleive there are benefits to both.
Single strand leaders are normally attached by way of a PR, FG or mid knot. All of these are time consuming to tie but result in a very fine connection. The mid and FG knot can be tied without a tool but the PR knot requires a bobbin to tie. The advantage of the single strand leader is that it casts beautifully and may be a better attachment where fish are shy and/or visibility is very good so fish may be able to see the twisted leader. Some people argue that the attachment of a long bite leader to the end of a twisted leader nullifies this advantage.
These knots are fussy to tie and require a lot of practice to develop the necessary expertise. That said, a well tied knot this way is as strong as any attachment I've used. I use PR and FG knots myself and while I have had a failure on a FG knot, I have noone but myself to blame as it wasn't well-tied. I have never had a failure with a PR knot nor have I ever had one that even looks like slipping. This disadvantage of these are that they are very time consuming to tie. These would be hell to tie in a rocking boat so if you want to use these attachments, you will need a number of spools with the leader pre-tied.
Twisted leaders are very convenient and can be very easy to attach quickly if you know how. If you can tie a bimimi competently in a boat, you can attach a twistie very quickly and you're back fishing straight away. The disadvantage of twisties is they don't cast quite as well a single strand leader. You also need to learn to attach them properly to the braid otherwise the bimimi loop will cut through the twisted leader loop.
For me, I now nearly always use a single strand leader with a stickbait and for a poppper, I use either. I am pretty convinced that I am better off using a single strand leader for a stickbait.
A question I have been asked in the past is whether a single strand 200lb leader would be as abrasion resistant as a twisted 100lb leader. I don't really know! What I can say though is that you need a softer leader material to tie a single strand leader whereas you can use just about anything for a twisted leader. I tend to use Penn 10X which is the toughest leader material I have found. I have no doubt whatsoever that the 10X is a tougher leader material than what I am currently using for my single strand leaders.
To me, there's a place for both in my tackle box.