The Ezelius family of knots is generally an improvement over the Rolling Hitch family. The Ezelius Grip Hitch is similar to the Rolling Hitch (1) [ABoK ##61, 503, 1190, 1465, 1681, 1734, 1791, 2555], Rolling Hitch (2) [ABoK #1735], and Rolling Hitch (3) [ABoK 1466, 1736]. The Ezelius Adjustable Loop Hitch is similar to the Tautline Hitch [Ashley does not use this name, but ABoK #62 (mislabeled), 157, 431, 1730, 1800, 1856], the Midshipman’s Hitch [ABoK #1027, 1729, 1799, 1855, 1993], and the Another Adjustable Hitch [ABoK #1800 (mentioned in the text), 1857]. The Inverted Ezelius Hitch is similar to the Adjustable Jam Hitch [ABoK #1230, 1727, 1994].
I would point out that there is one application to tent guy lines [#1799, 1800] where the Ezelius knot does not work out better. As the later name implies, the Tautline Hitch is often applied to a guy line under some tension. It is not as easy to tie the Ezelius Adjustable Loop Hitch under some tension.
The usual trick for improving the performance of all of the knots in the Rolling Hitch family is to add extra wraps. See [ABoK #215, 452, 480, 481] for examples. The extra wraps are still easy to do for rope under tension. The Ezelius family of knots usually does not need extra wraps, but sometimes it can also benefit from an extra wrap, particularly when using very cheap, stiff, slick cord such as the yellow braided polypropylene rope which is common around boats, swimming pools and construction sites. Here is one way to do this.