The orthography of Anglo-Saxon can make it look easier to read for a modern German or Dutch speaker, but to actually hear it could be confusing. Specifically around the words written with the past tense marker "ge" -- or other words using "ge", which is pronounced like modern English "ye" (hence English 'yester[day]' instead of German 'gestern'), not hard "ge" like in modern high German.
And yes Dutch (or modern Low Saxon dialects or Frisian) could be closer but the orthography is very different and also Anglo-Saxon had a palette closer to the front of the mouth than the back like Dutch.
Also other West Germanic (and North) languages lost the dental fricatives ("thorn" (þ) and "eth" (ð)) while English (and Icelandic) kept it. And Anglo Saxon used them heavily. Old Franconian and Old Saxon had this sound, too, but lost it (hence "the" vs der/die/das etc)