Well, it all depends on the machine, software and feeder style. I used a Philips CSM84 (made by Yamaha) for 13 years. The cover tape peeling was really marginal on that feeder, it relied on a spring in the feeder to supply the force to advance the tape and peel the cover tape after the part was picked up. I had constant issues with the cover tape not peeling and having to intervene. I would put a small C clamp on the empty tape coming out the back of the feeder to give a little more pull. I also "choked up" on the spring to give more force. On that machine, after 4 pickup attempts, it would stop and wait for help.
Now, I have a Quad QSA30 (Samsung essentially CP30 with Quad feeders and vision). The cover tape peeling is WAY better on these feeders, but it still takes some checking and attention when setting up. Also, the software will give up on a particular part after 4 attempts, give a message and then complete the rest of the board. After that, you go in and fix what is wrong with the feeder, and press start. It will then just place those parts that were skipped. That is pretty cool!
As for splicing tapes, I have had no luck doing that. I do splice the cover tapes with masking tape. I have gotten tapes from distributors with metal splices with punched-in holes that have "claws" that they spread with a tool to grip the sprocket holes in the tape. These jammed 100% in my Yamaha/Philips feeders. I haven't tried them in my Quad feeders, those might be more tolerant, but I don't know.
As far as I know, Essemtec uses their own feeder design.
Jon